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)

NL = input().split()
N = int(NL[0])
L = int(NL[1])
apple = []
apple_abs = []
sum = 0
for i in range(1,N+1):
  apple.append(L+i-1)
  apple_abs.append(abs(L+i-1))

apple_min = min(apple_abs)

for i in apple:
  if abs(i) == apple_min:
    continue
  sum += i
print(sum)