UVA 10976

分数表达式-------------计算1/k = 1/x + 1/y；

Sample Input

2
2
12

Sample Output

1/2=1/6+1/3
1/2=1/4+1/4

1/12=1/156+1/13
1/12=1/84+1/14
1/12=1/60+1/15
1/12=1/48+1/16
1/12=1/36+1/18
1/12=1/30+1/20
1/12=1/28+1/21
1/12=1/24+1/24

Code

：

 1 # include<iostream>
 2 # include<cstdio>
 3 using namespace std;
 4 int main()
 5 {
 6     int n;
 7     cin>>n;
 8     int x,y,k;
 9     int cnt = 0;
10     while(n--)
11     {
12         cin>>k;
13         if(cnt!=0)
14         {
15             cout<<endl;
16         }
17         for(int y=k+1; y<=2*k; y++)//之所以为2×K是因为
18 以1/2 = 1/4+1/4；顶多循环到二倍即4
19         {
20             if((k*y)%(y-k)==0) {
21                 int x=(k*y)/(y-k);
22                 cout<<"1/"<<k<<"=1/"<<x<<"+1/"<<y<<endl;
23             }
24         }
25         cnt++;
26     }
27     return 0;
28 }

View Code

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