HDOJ(HDU) 2503 a/b + c/d(最大公约数问题)

import java.util.Scanner;
public class Main{
    public static void main(String[] args) {
        Scanner sc= new Scanner(System.in);
        int t =sc.nextInt();
        while(t-->0){
            int a = sc.nextInt();
            int b =sc.nextInt();
            int c = sc.nextInt();
            int d = sc.nextInt();
            int n = a*d+c*b;
            int m = b*d;
            a=n;
            b=m;
            if(m>n){//n一定要大于等于m
                m=m^n;
                n=m^n;
                m=m^n;
            }
            //求n和m的最大公约数---辗转相除法
            while(m>0){
                int k=n%m;
                n=m;
                m=k;
            }
            System.out.println((int)a/n+" "+(int)b/n);
        }
    }
}