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: Runtime Error)

import java.util.Scanner;

public class Main{
	public static void main(String[]args){
		
		Scanner sc=new Scanner(System.in);
		
		int a=sc.nextInt();
		int b=sc.nextInt();
		int c=sc.nextInt();
		int d=sc.nextInt();
		
		int ac=a/c;
		int bc=a/c;
		int ad=a/d;
		int bd=a/d;
		int acd=a/(c*d);
		int bcd=b/(c*d);
		
		int count=0;
		if(a%c!=0){
			ac++;
		}
		if(b%c!=0){
			bc++;
		}
		if(a%d!=0){
			ad++;
		}
		if(b%d!=0){
			bd++;
		}
		if(a%(c*d)!=0){
			acd++;
		}
		if(b%(c*d)!=0){
			bcd++;
		}
		
		System.out.println(bc-ac+bd-ad-(bcd-acd));
		
		
	}
}