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)

package abc131;
import java.util.Scanner;
public class Main {

//最小公倍数lcm
static long lcm (long a, long b) {
	long temp;
	long c = a;
	c *= b;
	while((temp = a%b)!=0) {
		a = b;
		b = temp;
	}
	return (long)(c/b);
}
	public static void main(String[] args) {
		Scanner stdIn = new Scanner(System.in);
		
		long a = stdIn.nextLong();
		long b = stdIn.nextLong();
		long c = stdIn.nextLong();
		long d = stdIn.nextLong();
		
		long cnt = b-b/c-b/d+b/lcm(c,d);
		
		long ccnt = (a-1)-(a-1)/c-(a-1)/d+(a-1)/lcm(c,d);
		
		long ans = cnt - ccnt;
		System.out.println(ans);
		
	}

}