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
def gcd(a, b):
  while b:
    a, b = b, a%b
  return a

a, b, c, d = map(int, input().split())

tmp_b= b - math.floor(b/c) - math.floor(b/d)
tmp_b += math.floor(b/(c*d/gcd(c, d)))

tmp_a= a - math.floor(a/c) - math.floor(a/d)
tmp_a += math.floor(a/(c*d/gcd(c, d)))

print(tmp_b-tmp_a+1)