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):
  if b == 0:
    return a
  else:
    return gcd(b, a%b)

A, B, C, D = map(int, input().split())
count = 0
BCcount = math.floor(B / C)
BDcount = math.floor(B / D)
ACcount = math.floor((A - 1) / C)
ADcount = math.floor((A - 1) / D)
l = C * D / gcd(C, D)
BCDcount = math.floor(B / l)
ACDcount = math.floor((A - 1) / l)
Bcount = B - (BCcount + BDcount - BCDcount) 
Acount = (A - 1) - (ACcount + ADcount - ACDcount)
print(Bcount - Acount)