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.*;
public class Main{
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
  	long[] nums=new long[4];
  	for(int i=0;i<4;i++){
  		nums[i]=sc.nextLong();
  	}
  	long f=(nums[1]-(nums[1]/nums[2]+nums[1]/nums[3]-nums[1]/nums[2]/nums[3]))-(nums[0]-1-((nums[0]-1)/nums[2]+(nums[0]-1)/nums[3]-(nums[0]-1)/nums[2]/nums[3]));
  	System.out.print(f);
  }
}