hdu 5912 Fraction

標籤（空格分隔）： ACM

Mr. Frog recently studied how to add two fractions up, and he came up with an evil idea to trouble you by asking you to calculate the result of the formula below:

As a talent, can you figure out the answer correctly?

Input

The first line contains only one integer T, which indicates the number of test cases.
For each test case, the first line contains only one integer n (n≤8n≤8).
The second line contains n integers: a1,a2,⋯an(1≤ai≤10a1,a2,⋯an(1≤ai≤10).
The third line contains n integers: b1,b2,⋯,bn(1≤bi≤10)b1,b2,⋯,bn(1≤bi≤10).

Output

For each case, print a line “Case #x: p q”, where x is the case number (starting from 1) and p/q indicates the answer.
You should promise that p/q is irreducible.

Sample Input

1
2
1 1
2 3

Sample Output

Case #1: 1 2

Hint

Here are the details for the first sample:
2/(1+3/1) = 1/2

AC程式碼

#include<iostream>
#include <algorithm>
#include <stdio.h>
#include <string.h>
using namespace std;
int  T,n;
int a[15],b[15];
struct frac{
    int a=0,b=0;
};
int gcd(int a,int b)
{
    int m;
    if( a < b)
        m = a,a=b,b=m;
    while(a%b){
        m = a%b;
        a = b;
        b = m;
    }
    return
 
 b;
}
frac getAns(int i,int n)
{
    frac temp;
    if(i==n){
        temp.a=b[i];
        temp.b=a[i];
    }else {
        frac x=getAns(i+1,n);
        temp.a=b[i]*x.b;
        temp.b=a[i]*x.b+x.a;
    }
    return temp;
}

int main()
{
    cin>>T;
    frac answer;
    for(int k=1;k<=T;k++)
    {
        memset(a,0,sizeof(a));
        memset(b,0,sizeof(b));
        cin>>n;
        for(int i=1;i<=n;i++)    cin>>a[i];
        for(int i=1;i<=n;i++)    cin>>b[i];
        answer=getAns(1,n);
        int g=gcd(answer.a,answer.b);
        answer.a/=g;    answer.b/=g;
        printf("Case #%d: %d %d\n",k,answer.a,answer.b);
    }
    return 0;
}