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)

A, B, C, D = map(int, input().split())

def gcd(x, y):
    while(y > 0):
        x, y = y, x%y
    return x

E = C * D // gcd(C, D)
ac = (A-1) // C
ad = (A-1) // D
acd = (A-1) // E
bc = B // C
bd = B // D
bcd = B // E

print(B-A+1-(bc-ac)-(bd-ac)+(bcd-acd))