193 条题解

  • -1
    @ 2016-11-11 07:54:40

    评测结果
    编译成功

    Free Pascal Compiler version 3.0.0 [2015/11/16] for i386
    Copyright (c) 1993-2015 by Florian Klaempfl and others
    Target OS: Win32 for i386
    Compiling foo.pas
    foo.pas(16,50) Warning: Variable "ans" does not seem to be initialized
    Linking foo.exe
    17 lines compiled, 0.0 sec, 27680 bytes code, 1268 bytes data
    1 warning(s) issued
    测试数据 #0: Accepted, time = 0 ms, mem = 808 KiB, score = 10
    测试数据 #1: Accepted, time = 0 ms, mem = 808 KiB, score = 10
    测试数据 #2: Accepted, time = 46 ms, mem = 804 KiB, score = 10
    测试数据 #3: TimeLimitExceeded, time = 1015 ms, mem = 808 KiB, score = 0
    测试数据 #4: Accepted, time = 62 ms, mem = 812 KiB, score = 10
    TimeLimitExceeded, time = 1123 ms, mem = 812 KiB, score = 40

    pascal
    var n,m,ans,i,j:longint;
    function gcd(a,b:longint):longint;
    begin
    if b=0 then exit(a);
    if a<b then exit(gcd(a,b mod a))
    else exit(gcd(b,a mod b));
    end;
    function lcm(a,b:longint):longint;
    begin
    exit(a*b div gcd(a,b));
    end;
    begin
    readln(n,m);
    for i:=1 to n*m div gcd(n,m) do
    for j:=1 to n*m div gcd(n,m) do
    if (gcd(i,j)=n) and (lcm(i,j)=m) then inc(ans);
    write(ans);
    end.

    请大牛帮帮忙!为啥只有40分?

  • -1
    @ 2016-10-05 21:38:28

    评测结果
    编译成功

    测试数据 #0: Accepted, time = 0 ms, mem = 560 KiB, score = 10
    测试数据 #1: Accepted, time = 0 ms, mem = 560 KiB, score = 10
    测试数据 #2: Accepted, time = 0 ms, mem = 556 KiB, score = 10
    测试数据 #3: Accepted, time = 0 ms, mem = 564 KiB, score = 10
    测试数据 #4: Accepted, time = 0 ms, mem = 560 KiB, score = 10
    Accepted, time = 0 ms, mem = 564 KiB, score = 50

    #include <iostream>
    using namespace std;

    int64 gcd(int64 a, __int64 b)
    {
    __int64 temp;
    while(b)
    {

    temp = b;
    b = a % b;
    a = temp;
    }

    return a;
    }

    int64 lcm(int64 a,__int64 b)
    {
    return (a*b/gcd(a,b));
    }

    int main()
    {
    __int64 a,b;
    int iCnt = 0;
    cin >> a >> b;

    int64 iMul = a*b;
    for(
    int64 i=a;i<=b;i+=a){

    if (gcd(i,iMul/i)==a && lcm(i,iMul/i)==b){
    iCnt++;
    }
    }
    cout << iCnt;
    return 0;
    }

  • -1
    @ 2016-09-08 20:54:33

    water
    var
    n,m,k,i,total:longint;
    function gcd(a,b:longint):boolean;
    var r:longint;
    begin
    repeat
    r:=a mod b;
    a:=b;
    b:=r;
    until b=0;
    if a=n then exit(true)
    else exit(false);
    end;
    begin
    total:=0;
    readln(n,m);
    k:=n*m;
    for i:=n to trunc(sqrt(k)) do begin
    if (k mod i=0) and gcd(i,k div i) then inc(total);
    end;
    writeln(total*2);
    end.

  • -1
    @ 2016-09-07 21:45:56
    评测结果
    编译成功
    
    测试数据 #0: Accepted, time = 0 ms, mem = 556 KiB, score = 10
    测试数据 #1: Accepted, time = 0 ms, mem = 556 KiB, score = 10
    测试数据 #2: Accepted, time = 0 ms, mem = 556 KiB, score = 10
    测试数据 #3: Accepted, time = 15 ms, mem = 560 KiB, score = 10
    测试数据 #4: Accepted, time = 0 ms, mem = 556 KiB, score = 10
    Accepted, time = 15 ms, mem = 560 KiB, score = 50
    代码
    #include <iostream>
    using namespace std;
    inline int gcd(int a,int b) {
      if (a%b) return gcd(b,a%b);
      else return b;
    }
    int main (){
      ios :: sync_with_stdio(false);
      int x,y,ans = 0;
      cin >> x >> y;
      for (int i = 1;i <= y;i++)
        for (int j = 1;i*j <= x*y;j++)
          if (gcd(i,j) == x && i*j == x*y) ans++;
      cout << ans;
      return 0;
    }
    
  • -1
    @ 2016-07-16 21:46:06

    var x,y,i,s,a:int64;
    function pd(a,b:int64):boolean;
    var
    tmp:int64;
    i,j:longint;
    begin
    tmp:=0;
    while b>0 do
    begin
    tmp:=b;
    b:=a mod b;
    a:=tmp;
    end;
    pd:=false;
    if tmp=x then pd:=true;
    end;

    begin
    read (x,y);
    i:=1;
    s:=0;
    while i< (x*y) do
    begin
    a:=x*y div i;
    if pd(a,i) and (a*i=x*y) then
    inc(s);
    inc(i);
    end;
    write(s);
    end.

  • -1
    @ 2016-07-16 21:07:48

    var
    p,q,n,i,j,num:longint;
    a,b,w:int64;
    function pd(a,b:int64):boolean;
    var
    tmp:int64;
    i,j:longint;
    begin
    tmp:=0;
    while b>0 do
    begin
    tmp:=b;
    b:=a mod b;
    a:=tmp;
    end;
    pd:=false;
    if tmp=p then pd:=true;
    end;
    begin
    readln(p,q);
    if p=q then
    begin
    writeln('1');
    exit;
    end;
    n:=q div p;
    w:=q*p;
    num:=0;
    for i:=1 to n do
    begin
    a:=i*p;
    if (w mod a=0) {and ((w div a) div p=0)} and (pd(a,w div a)) then inc(num);
    end;
    writeln(num);
    end.

  • -1
    @ 2016-07-16 10:18:42

    #include <cstdio>

    int gcdlight(int a,int b){
    return b==0?a:gcdlight(b,a%b);
    }

    int main(){
    //freopen("in.txt","r",stdin);
    int x,y,count=0;
    scanf("%d%d",&x,&y);
    int w=x*y,k;

    for(int i=2;i<=w;i++){
    if(!(w%i)==0)
    continue;
    k=w/i;
    if(gcdlight(k,i)==x)
    count++;
    }
    printf("%d",count);
    return 0;
    }

  • -1
    @ 2016-05-16 19:12:00

    include <stdio.h>

    int gcd(int m, int n)
    {
    return n == 0 ? m : gcd(n,m%n);
    }

    int main (void)
    {
    int x, y, cnt, m;
    scanf("%d%d",&x,&y);
    for (m=1, cnt=0; m<=y; m++) {
    if (y % m == 0 && gcd(m*x,y/m) == x) {
    cnt++;
    }
    }
    printf("%d\n",cnt);
    return 0;
    }

    • @ 2016-05-16 19:15:04

      还可以进一步优化,主要思想是m*n = gcd(m,n)* lcm(m,n);设m=k*gcd(m,n),n=lcm(m,n)/ k
      再对k进行枚举即可

  • -1
    @ 2016-03-27 20:18:37

    #include <iostream>
    #include <cstring>
    #include <cstdio>
    #include <algorithm>

    using namespace std;

    int main()
    {
    int x0, y0;
    cin >> x0 >> y0;

    if (y0 % x0 != 0)
    {
    cout << 0;
    return 0;
    }

    y0 /= x0;
    int ans = 1;
    for (int i = 2; i * i <= y0; ++i)
    if (y0 % i == 0)
    {
    while (y0 % i == 0)
    y0 /= i;
    ans *= 2;
    }
    if (y0 != 1)
    ans *= 2;

    cout << ans << endl;

    return 0;
    }

    相当于求y0/x0的互质分解个数,也就是2^(它的质因数种数)。

  • -1
    @ 2016-02-21 12:52:41
    /* ***********************************************
    Author        :guanjun
    Created Time  :2016/2/21 12:34:37
    File Name     :vijosp1131.cpp
    ************************************************ */
    #include <iostream>
    #include <cstring>
    #include <cstdlib>
    #include <stdio.h>
    #include <algorithm>
    #include <vector>
    #include <queue>
    #include <set>
    #include <map>
    #include <string>
    #include <math.h>
    #include <stdlib.h>
    #include <iomanip>
    #include <list>
    #include <deque>
    #include <stack>
    #define ull unsigned long long
    #define ll long long
    #define mod 90001
    #define INF 0x3f3f3f3f
    #define maxn 10000+10
    #define cle(a) memset(a,0,sizeof(a))
    const ull inf = 1LL << 61;
    const double eps=1e-5;
    using namespace std;
    priority_queue<int,vector<int>,greater<int> >pq;
    struct Node{
    int x,y;
    };
    struct cmp{
        bool operator()(Node a,Node b){
            if(a.x==b.x) return a.y> b.y;
            return a.x>b.x;
        }
    };
    
    bool cmp(int a,int b){
        return a>b;
    }
    ll gcd(ll a,ll b){
        return a==0?b:gcd(b%a,a);
    }
    int main()
    {
        #ifndef ONLINE_JUDGE
        //freopen("in.txt","r",stdin);
        #endif
        //freopen("out.txt","w",stdout);
        ll x,y;
        while(cin>>x>>y){
            ll z=x*y;
            ll ans=0;
            for(int i=x;i<=y;i+=x){
                if(y%i==0)
                if(gcd(i,(z/i))==x)ans++;
            }
            cout<<ans<<endl;
        }
        return 0;
    }
    
    
  • -1
    @ 2015-12-14 10:31:07

    #include <stdio.h>

    const int primeCount=9592;
    int prime[primeCount]=
    {
    //WARNING
    //此处略,表太长自己打,或者临时计算
    };

    int PrimeDivisors(int test)
    {
    int ret=0;
    for(int i=0;i<primeCount&&prime[i]<=test;i++)
    {
    if(test%prime[i]==0)
    {
    while(test%prime[i]==0)
    {
    test/=prime[i];
    }
    ret++;
    }
    }
    return ret;
    }

    int main()
    {
    int x,y;
    int index;
    scanf("%d%d",&x,&y);
    if(y%x!=0)
    {
    printf("0\n");
    return 0;
    }
    index = PrimeDivisors(y/x);
    int ans=1;
    for(int i=0;i<index;i++)
    {
    ans*=2;
    }
    printf("%d\n",ans);
    return 0;
    }

  • -1
    @ 2015-11-05 14:10:22

    #include<iostream>
    #include<cstring>
    using namespace std;

    int p[12]={2,3,5,7,11,13,17,19,23,29,31,37};
    int b[12][2];
    int count=0;

    void k(int a){
    for(int i=0;i<=11;i++){
    while(a%p[i]==0){
    a=a/p[i];
    b[i][count]++;
    }
    }
    return;
    }

    int main(){
    int x,y;
    int ans=1;
    cin>>x>>y;
    memset(b,0,sizeof(b));
    if(y%x!=0) { cout<<"0"; return 0; }
    k(x); count++; k(y);
    for(int i=0;i<=11;i++){
    b[i][1]=b[i][1]-b[i][0];
    }
    for(int i=0;i<=11;i++){
    if(b[i][1]!=0) ans=ans*2;
    }
    cout<<ans;
    return 0;
    }

  • -1
    @ 2015-10-31 20:04:23

    数据太弱。
    /*
    ID:
    LANG:
    TESK:
    */
    #include <iostream>
    #include <fstream>
    //#include <cstdio>
    //#include <cstdlib>
    //#include <string>
    //#include <cstring>
    //#include <cmath>
    //#include <algorithm>
    using namespace std;
    typedef long long longint;
    const string file_name = "p1131";
    const string file_in_name = file_name+"in";
    const string file_out_name = file_name+".out";
    const int N=100;
    longint x0,y0,m,p,q,s=0;
    int swap(longint &x,longint &y)
    {
    x = x ^ y;
    y = x ^ y;
    x = x ^ y;
    return 0;
    }
    longint gcd(longint x,longint y)
    {
    while(y!=0){
    x = x % y;
    swap(x,y);
    }
    return x;
    }
    int main()
    {
    //ifstream cin(file_in_name.c_str(),ios::in);
    //ofstream cout(file_out_name.c_str(),ios::out);
    //freopen(file_in_name.c_str(),"r",stdin);
    // freopen(file_out_name.c_str(),"w",stdout);
    cin>>x0>>y0;
    m=x0*y0;
    for(p=x0;p<=y0;p+=x0){
    q=m/p;
    longint t=gcd(p,q);
    if(t==x0&&p*q/t==y0)/*cout<<p<<' '<<q<<endl,*/s++;
    }
    cout<<s;
    //cin.close();
    //cout.close();
    return 0;
    }

  • -1
    @ 2015-10-26 19:20:34

    楼下的那个代码多计算了一次gcd
    ans+=(gcd(p,q)==x0)&&(lcm(p,q)==y0);
    这个位置的可以先计算gcd,然后利用p*q/gcd求出lcm,效率略高
    编译成功

    测试数据 #0: Accepted, time = 0 ms, mem = 520 KiB, score = 10
    测试数据 #1: Accepted, time = 0 ms, mem = 524 KiB, score = 10
    测试数据 #2: Accepted, time = 0 ms, mem = 520 KiB, score = 10
    测试数据 #3: Accepted, time = 0 ms, mem = 524 KiB, score = 10
    测试数据 #4: Accepted, time = 3 ms, mem = 524 KiB, score = 10
    Accepted, time = 3 ms, mem = 524 KiB, score = 50
    代码
    #include <iostream>
    #include <cstdio>
    #include <algorithm>
    #include <string.h>
    #include <functional>
    #include <cmath>
    using namespace std;
    int gcd(int a, int b)
    {
    if (b == 0)
    {
    return a;
    }
    return gcd(b, a%b);
    }
    int main()
    {
    int x, y;
    int p, q;
    int g;
    int ans;
    ans = 0;
    cin >> x >> y;
    for (p = x; p <= y; p++)
    {
    q = (y / p)*x;
    g = gcd(p, q);
    if ((g == x) && (p*q / g) == y)
    {
    ans++;
    }
    }
    cout << ans << endl;
    return 0;
    }

  • -1
    @ 2015-10-26 11:03:27

    正确的时间复杂度的算法
    由题意得,gcd(p,q)=x0 lcm(p,q)=y0
    显然p的一个约数为x0 我们选择在区间[x0,y0]之间枚举p
    当p确定后,我们由 lcm(p,q)=p*q/gcd(p,q)=y0 可以算出q=y0/(p/x0)
    现在p,q都已经确定了 直接判定就好了
    复杂度O(N*logN) 枚举O(N) gcd是log的
    ###Block code

    #include<cstdio>
    #include<iostream>
    #include<cstring>
    #include<algorithm>
    #include<queue>
    #include<bitset>
    #include<map>
    #include<bitset>
    using namespace std;
    int ans,x0,y0;
    long long gcd(long long a,long long b)
    {return b==0?a:gcd(b,a%b);}
    long long lcm(long long a,long long b)
    {return a/gcd(a,b)*b;}
    int main()
    {
    scanf("%d%d",&x0,&y0);
    for(int i=x0;i<=y0;i+=x0)
    {
    long long p=i;
    long long q=y0/(p/x0);
    ans+=(gcd(p,q)==x0)&&(lcm(p,q)==y0);
    }
    cout<<ans<<endl;
    }

    • @ 2016-02-18 15:55:41

      为什么llong

  • -1
    @ 2015-08-21 09:11:16

    额呵呵,直接暴力过了……0ms
    #include<cstdio>
    #include<algorithm>
    using namespace std;

    int gcd(int x,int y){
    if (y==0) return x;else return gcd(y,x%y);
    }
    int n,m,ans=0;
    int main(){
    scanf("%d%d",&n,&m);
    for (int i=n;i<=m;i+=n)
    if (m%i==0)
    for (int j=i;j<=m;j+=n)
    if (m%j==0)
    if (gcd(m/i,m/j)==1){
    if (gcd(i/n,j/n)==1) ans++;
    }
    printf("%d\n",ans*2);
    }

  • -1
    @ 2015-08-06 10:28:25

    #include<cstdio>
    using namespace std;
    int gcd(int a,int b)
    {
    if(a==0)return b;
    else return gcd(b%a,a);
    }
    int lcm(int a,int b)
    {
    return a*b/gcd(a,b);
    }
    int main()
    {
    int j,i,a,b,ans=0,cnt=0,tt=0,kk=0;
    scanf("%d%d",&a,&b);
    for(i=a;i<=b;i+=a)
    {
    for(j=a;j<=b;j+=a)
    {
    if(gcd(i,j)==a && lcm(i,j)==b)
    {
    ans++;
    }
    }
    }
    printf("%d",ans);
    return 0;
    }

  • -1
    @ 2015-08-06 10:16:04

    #include<cstdio>
    #include<iostream>
    #include<cstring>
    #include<cmath>
    using namespace std;
    int mymax(int x,int y)
    {
    return x>y?x:y;
    }
    int gcd(int a,int b)
    {
    if(a%b==0)
    {
    return b;
    }
    else
    {
    return gcd(b,a%b);
    }
    }
    int gcdb(int a,int b)
    {
    return a/gcd(a,b)*b;
    }
    int main()
    {
    int x,y,len,ans;
    scanf("%d%d",&x,&y);
    ans=0;
    for(int i=1;i<=y;i++)
    {
    for(int j=i;j<=y;j++)
    {
    if(i%x!=0)
    {
    break;
    }
    if(y%i!=0)
    {
    break;
    }
    if(j%x==0 && y%j==0)
    {
    if(gcd(j,i)==x && gcdb(j,i)==y)
    {
    if(i==j)
    {
    ans++;
    }
    else
    {
    ans+=2;
    }
    }
    }
    }
    }
    printf("%d\n",ans);
    return 0;
    }
    改了一点点东西

  • -1
    @ 2015-08-06 10:11:56

    水题,很简单
    #include<cstdio>
    #include<iostream>
    #include<cstring>
    #include<cmath>
    using namespace std;
    int mymax(int x,int y)
    {
    return x>y?x:y;
    }
    int gcd(int a,int b)
    {
    if(a%b==0)
    {
    return b;
    }
    else
    {
    return gcd(b,a%b);
    }
    }
    int gcdb(int a,int b)
    {
    return a/gcd(a,b)*b;
    }
    int main()
    {
    int x,y,len,ans;
    scanf("%d%d",&x,&y);
    len=mymax(x,y);
    ans=0;
    for(int i=1;i<=len;i++)
    {
    for(int j=i;j<=len;j++)
    {
    if(i%x!=0)
    {
    break;
    }
    if(y%i!=0)
    {
    break;
    }
    if(j%x==0 && y%j==0)
    {
    if(gcd(j,i)==x && gcdb(j,i)==y)
    {
    if(i==j)
    {
    ans++;
    }
    else
    {
    ans+=2;
    }
    }
    }
    }
    }
    printf("%d\n",ans);
    return 0;
    }

  • -1
    @ 2015-06-07 11:24:59

    //先说一下思路吧:其实我的程序理论上应该是215错误或者tle的但是不知道是不是数据给的*太弱了*
    就秒杀了……
    1.先令num=x*y(若两数互质时的最小公倍数,即最坏情况下的最小公倍数)
    2.将num拆分成两个数
    3.检验这两个数是否符合条件,符合就计数器+1
    4.输出时计数器*2(因为一个数就对应着两个数)
    本来只想骗分的,但是没想到ac了……

    代码

    BLOCK code

    var
    i:Longint;
    x,y,total,tmp,num:longint;
    function gcd(a,b:int64):int64;
    begin
    if b=0 then exit(a) else exit(gcd(b,a mod b));
    end;
    begin
    readln(x,y);
    if x=y then begin writeln(x); exit; end;
    num:=x*y;
    for i:=1 to trunc(sqrt(num)) do
    begin
    if num mod i=0 then
    begin
    tmp:=gcd(i,num div i);
    if (tmp=x) and (num div tmp=y) then inc(total);
    end;
    end;

    writeln(total*2);
    end.

    block code

    评测结果
    编译成功

    Free Pascal Compiler version 2.6.4 [2014/03/06] for i386
    Copyright (c) 1993-2014 by Florian Klaempfl and others
    Target OS: Win32 for i386
    Compiling foo.pas
    foo.pas(17,56) Warning: Variable "total" does not seem to be initialized
    Linking foo.exe
    21 lines compiled, 0.1 sec , 28544 bytes code, 1628 bytes data
    1 warning(s) issued
    测试数据 #0: Accepted, time = 0 ms, mem = 768 KiB, score = 10
    测试数据 #1: Accepted, time = 2 ms, mem = 768 KiB, score = 10
    测试数据 #2: Accepted, time = 1 ms, mem = 772 KiB, score = 10
    测试数据 #3: Accepted, time = 1 ms, mem = 768 KiB, score = 10
    测试数据 #4: Accepted, time = 0 ms, mem = 768 KiB, score = 10
    Accepted, time = 4 ms, mem = 772 KiB, score = 50

最小公倍数和最大公约数问题

信息

ID
1131
难度
4
分类
其他 | 数学搜索 | 枚举 点击显示
标签
递交数
7297
已通过
2964
通过率
41%
被复制
24
上传者