HOJ———丢手绢

hide handkerchief

Time Limit: 10000/3000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)

Total Submission(s): 6646 Accepted Submission(s): 2173

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

 

最一开始并没有发现这道题的规律，只是盲目地将前几种情况列了出来。

发现了一些“端倪”。。。然并卵，还是看了别人的博客

http://blog.sina.com.cn/s/blog_86a6befd01012bqi.html

发现了解法应该是利用辗转相除求解N和M-1的公约数

#include <iostream>
using namespace std;
int main(){
    int n,m,t;
    while (1) {
        scanf("%d%d",&n,&m);
        if(n==-1&&m==-1)break;
        while (m!=0) {
            t=n%m;
            n=m;
            m=t;
        }
        if(n==1)printf("YES
");
        else printf("POOR Haha
");
    }
    return 0;
}

总结：1.无限循环tips-->while(1){}