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.Arrays;
import java.util.Scanner;

public class Main{
	
	private static long gcd(long m, long n) {
        if(m < n) return gcd(n, m);
        if(n == 0) return m;
        return gcd(n, m % n);
    }
	
	public static void main(String[] args) {
		Scanner sc=new Scanner(System.in);
		long A=sc.nextLong(),B=sc.nextLong(),C=sc.nextLong(),D=sc.nextLong();
		long count=0;
	
		long temp=0;
		long countA = B/C-((A-1)/C);
		long countB = B/D-(A-1)/D;
		long countC=B/(C*D)-(A-1)/(C*D);
		
		
		
		count = B-A+1-(countA+countB-countC);
	
		
		System.out.println(count);
		
		
		
		
		
		
		
		
		
		
	
		
		
}
}