HACM 2104 hide handkerchief

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

 

这道题目意思是n个人围成一个圈，大家玩找手帕游戏，手帕藏在某一个人的箱子里，Haha来找，每一次他都会跳过m-1个人。问你Haha是不是一定能找到手帕。其实只要他能把所有的人都找一遍就一定能找到。但按照他的这种找法，n和m互质则可以把所有人都找一遍。公约数只有1的两个整数叫做互质整数。求最大公约数如下

int gcd(int a,int b)

{

if(b==0)return a;

elsereturn gcd(b,a%b);

} 

如果gcd(a,b)==1那么a和b就为互质那么下面就开始做吧

#include <iostream>#include<string>using namespace std;int gcd(int a, int b){if (b == 0)return a;else return gcd(b, a%b);}int main(){ int m, n;while (cin>>n>>m){if (n == -1 && m == -1)break;if (gcd(n,m)!=1)cout << "POOR Haha" << endl;else cout << "YES" << endl;}return 0;}