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 Python (3.4.3) (judge verdict: Wrong Answer)

from fractions import gcd

def main():
    a,b,c,d = map(int,input().split(" "))
    n = b - a + 1

    noinclude = int(a/c) + int(a/d) - int(a/(c * d / gcd(c, d)))
    include = int(b/c) + int(b/d) - noinclude - int(b/(c * d / gcd(c, d)))
    print(n - include)

if __name__ == '__main__':
    main()