Problem 22

Hey All,

I've attempted to use % to calculate #22, as this seemed the simplest method. The issue I'm coming up against is it only calculates the first few, then drops out for some reason. The answers are correct, it just won't finish them. Below is my code:

import java.util.*;

public class Twentytwo {

public static void main(String[] args) {
    Scanner in = new Scanner(System.in);
    int count = in.nextInt();

    int x, y, n, time, pages;

    for (int i = 0; i < count; i++) {
        x = in.nextInt();
        y = in.nextInt();
        n = in.nextInt();
        pages = 0;

        for (time = 1; pages < n; time++) {
            if (time % x == 0 && time % y == 0) {
                pages += 2;
            } else if (time % x == 0 || time % y == 0) {
                pages++;
            }
        }
        System.out.print((time - 1) + " ");
    }
    in.close();
}
}