Problem:
Score : 300 points

Problem Statement

You are given four integers A, B, C, and D. Find the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D.

Constraints

1\leq A\leq B\leq 10^{18}

1\leq C,D\leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

A B C D

Output

Print the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D.

Sample Input 1

4 9 2 3

Sample Output 1

2

5 and 7 satisfy the condition.

Sample Input 2

10 40 6 8

Sample Output 2

23

Sample Input 3

314159265358979323 846264338327950288 419716939 937510582

Sample Output 3

532105071133627368

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)


import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Scanner s = new Scanner(System.in);
        long a = s.nextLong();
        long b = s.nextLong();
        long c = s.nextLong();
        long d = s.nextLong();

        long e = b-a;
        int i=1;
        long k = Math.max(c,d);
        int g = 0;
        while(i<=k){
           if(c%i==0&&d%i==0){
               g=i;
           }
           i++;
        }
        long min = c*d / g;
        long f = e / min;
        System.out.println(e-(e/c+e/d)+f);
    }
}