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)

import math
import fractions
a,b,c,d = map(int, input().split())
e = a-1
less_than_e = e - math.floor(e/c) - math.floor(e/d) + math.floor(e/(c*d/fractions.gcd(c,d)))
less_than_b = b - math.floor(b/c) - math.floor(b/d) + math.floor(b/(c*d/fractions.gcd(c,d)))
print(less_than_b - less_than_e)