HDU——2104 hide handkerchief

hide handkerchief

Time Limit: 10000/3000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 3401    Accepted Submission(s): 1608

Problem Description

The Children’s Day has passed for some days .Has you remembered something happened at your childhood? I remembered I often played a game called hide handkerchief with my friends.
Now I introduce the game to you. Suppose there are N people played the game ,who sit on the ground forming a circle ,everyone owns a box behind them .Also there is a beautiful handkerchief hid in a box which is one of the boxes .
Then Haha(a friend of mine) is called to find the handkerchief. But he has a strange habit. Each time he will search the next box which is separated by M-1 boxes from the current box. For example, there are three boxes named A,B,C, and now Haha is at place of A. now he decide the M if equal to 2, so he will search A first, then he will search the C box, for C is separated by 2-1 = 1 box B from the current box A . Then he will search the box B ,then he will search the box A.
So after three times he establishes that he can find the beautiful handkerchief. Now I will give you N and M, can you tell me that Haha is able to find the handkerchief or not. If he can, you should tell me "YES", else tell me "POOR Haha".

 

Input

There will be several test cases; each case input contains two integers N and M, which satisfy the relationship: 1<=M<=100000000 and 3<=N<=100000000. When N=-1 and M=-1 means the end of input case, and you should not process the data.

 

Output

For each input case, you should only the result that Haha can find the handkerchief or not.

 

Sample Input

3 2
-1 -1

 

Sample Output

YES


求两个数是否互质！
欧几里得算法(辗转相除法)
int gcd(int a,int b)
{
if(b==0)return a;
else return gcd(b,a%b);
} //递归法求最大公约数，当最大公约数是1的时候，两个数互质
if(gcd(x,y)==1)那么x,y互质

本题代码如下
///互质，公约数只有1的两个整数，叫做互质整数·公约数只有1的两个自然数，叫做互质自然数，后者是前者的特殊情形·。


#include<stdio.h>
#include<string.h>
#include<iostream>
#include<algorithm>
#include<math.h>


using namespace std;


int gcd(int a,int b)
{
    if(b==0)return a;
    else return gcd(b,a%b);
} 


int main()
{
    int n,m;
    while(~scanf("%d%d",&n,&m))
    {
        if(n==-1&&m==-1)
            break;
        int t=gcd(n,m);
        if(t==1)
            printf("YES\n");
        else
            printf("POOR Haha\n");
    }
}