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 Ruby (2.7.1) (judge verdict: Accepted)

a, b, c, d = gets.chomp.split(" ").map(&:to_i)
saisyou = c.lcm(d)

#a-1以下
a_ans = (a-1)/c + (a-1)/d - (a-1)/saisyou
aa = a - 1 - a_ans
# b以下
b_ans = (b/c) + (b/d) - (b/saisyou)
bb =  b - b_ans
puts bb - aa