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
A,B,C,D = map(int,input().split())
ans = 0
def gcd(a,b):
        while b!=0:
                a,b=b,a%b
        return a

def lcm(a,b):
        return a*b//gcd(a,b)

def kosuu(x):
        global A,B
        return math.floor(B/x) - math.ceil(A/x) + 1

cn = kosuu(C)
dn = kosuu(D)
lc = lcm(C,D)
cdn = kosuu(lc)

print(B-A+1-(cn+dn-cdn))