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 (2.3.3) (judge verdict: Time Limit Exceeded)

a, b, c, d = gets.split.map(&:to_i)
#a以上b以下の整数を配列に入れる
int_list = Array.new
for i in a..b do
  int_list.push(i)
end
#print(int_list, "\n")
#int_listの要素の中から, c, dのどちらでも割り切れない要素の個数を数える。
#count = int_list.size
count = 0
int_list.each do |int|
  if int % c != 0 && int % d != 0
    count += 1
  end
end
p count