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: Runtime Error)

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

def lcm(x, y): #最小公倍数
    return (x * y) // math.gcd(x, y)

n_C = B//C - (A-1)//C # Cで割り切れる数の数
n_D = B//D - (A-1)//D
CandD = lcm(C,D)
n_CandD = B//CandD - (A-1)//CandD

# CでもDでも割けれない数 = 全体 - CでもDでも割り切れる数
ans = B-A+1 - (n_C + n_D - n_CandD)
print(ans)