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++14 (GCC 5.4.1) (judge verdict: Runtime Error)

#include <iostream>
#include <iomanip>
#include <string>
#include <vector>
#include <stdio.h>
#include <numeric>
#include <cmath>
#include <algorithm>

using namespace std;

int main(){

    int A, B, C, D,count = 0;
    cin >> A >> B >> C >> D;

    for (int i=A;i<B;i++) {
        if ((i%C != 0) && (i%D != 0)) {
            count += 1;
        }
    }

    cout << count;
}