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  • Wolf and Rabbit(gcd)

    Wolf and Rabbit

    Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
    Total Submission(s): 5922    Accepted Submission(s): 2972

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    Problem 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
    如果不互质则会循环下去,互质则会存在位置不能到达
     1 #include <iostream>
     2 #include <cstring>
     3 using namespace std;
     4 #define LL long long 
     5 LL  gcd(LL x,LL y)
     6 {
     7     if(x<y)
     8         return gcd(y,x);
     9     if(y==0)
    10         return x;
    11     return gcd(y,x%y);  
    12 }
    13 int main()
    14 {
    15     LL  n,m;
    16     int k;
    17     cin>>k;
    18     while(k--)
    19     {
    20         cin>>m>>n;
    21         LL  p=gcd(m,n);
    22     //    cout<<p<<endl;
    23         if(p==1)
    24             cout<<"NO
    ";
    25         else
    26             cout<<"YES
    ";
    27     }
    28     return 0;
    29 }
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  • 原文地址:https://www.cnblogs.com/a1225234/p/4603092.html
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