集训第六周 数学概念与方法 概率 数论 最大公约数 G题

本文探讨了一个关于兔子和狼在洞穴中寻找藏匿的数学问题,通过输入两个正整数m和n,判断是否存在兔子可以藏身的‘安全洞’。问题通过计算m和n的最大公约数来解决,若大于1则存在安全洞,输出'YES';否则输出'NO'。

Description

There is a hill with n holes around. The holes are signed from 0 to n-1. 



A rabbit must hide in one of the holes. A wolf searches the rabbit in anticlockwise order. The first hole he get into is the one signed with 0. Then he will get into the hole every m holes. For example, m=2 and n=6, the wolf will get into the holes which are signed 0,2,4,0. If the rabbit hides in the hole which signed 1,3 or 5, she will survive. So we call these holes the safe holes. 
 

Input

The input starts with a positive integer P which indicates the number of test cases. Then on the following P lines,each line consists 2 positive integer m and n(0<m,n<2147483648). 
 

Output

For each input m n, if safe holes exist, you should output "YES", else output "NO" in a single line. 
 

Sample Input

2
1 2
2 2
 

Sample Output

NO
YES
 
 
给出两个数,如果它们的公约数大于1就输出YES,否则输出NO
 
#include"iostream"
using namespace std;

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

int main()
{
    int T,m,n;
    cin>>T;
    while(T--)
    {
        cin>>m>>n;
        cout<<((gcd(m,n)>1)?"YES":"NO")<<endl;
    }
    return 0;
}
View Code

 

转载于:https://www.cnblogs.com/zsyacm666666/p/4744033.html

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