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: Accepted)

def gcd(a,b):
    while b != 0:
        temp = b
        b = a%b
        a = temp
    return a
A,B,C,D = map(int,input().split())
if C >=D:
    lc = int(C*D/gcd(C,D))
else: lc = int(C*D/gcd(D,C))
A = A-1
A_n = A - (A//C + A//D - A//lc)
B_n = B - (B//C + B//D - B//lc)
print(int(B_n-A_n))