(SPOJ) Soma de Frações - Solution

Link to the problem: http://br.spoj.com/problems/SOMA13/

The solution below uses some Math concepts.


import java.io.*;
import java.util.*;

class Main {
    public void process() throws NumberFormatException, IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
       
        String line = br.readLine();
        String[] s = line.split(" ");
        int n1 = Integer.parseInt(s[0]);
        int d1 = Integer.parseInt(s[1]);
        int n2 = Integer.parseInt(s[2]);
        int d2 = Integer.parseInt(s[3]);
       
        int n = 0;
        int d = 0;
        if (d1 == d2) {
            d = d1;
            n = n1+n2;
        }
        else {
            d = d1*d2;
            n1 = d/d1*n1;
            n2 = d/d2*n2;
            n = n1+n2;
        }
       
        int min = Math.min(n, d);
        for (int i = min; i >= 2; i--) {
            if (n%i == 0 && d%i == 0) {
                n /= i;
                d /= i;
            }
        }
       
        bw.write(n + " " + d + "\n");
           
        bw.flush();
        bw.close();
       
        return;
    }
   
    public static void main(String[] args) throws NumberFormatException, IOException {
        Main m = new Main();
        m.process();
       
        System.exit(0);
    }
}