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 C (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <stdio.h>

int main(){
	long long int a, b, c, d;
	scanf("%lld %lld %lld %lld", &a, &b, &c, &d);
	long long int i, ans=0, x, y, z;
	x = (b-a+1)/c;
	y = (b-a+1)/d;
	z = (b-a+1)/(c*d);
	
	if(d%c==0) x++;
	if(d%d==0) y++;
	if(d%(c*d)==0) z++;
	
	printf("%lld", (b-a+1)-x-y+z);
	
	return 0;
}