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 Kotlin (1.0.0) (judge verdict: Time Limit Exceeded)

import java.util.*

fun main(args: Array<String>) {
    val argList = Scanner(System.`in`)


    val a = argList.nextLong()
    val b = argList.nextLong()
    val c = argList.nextInt()
    val d = argList.nextInt()
    val executor = AntiDivision()
    println(executor.execute(a, b, c, d))

}

class AntiDivision {
    fun execute(a: Long, b: Long, c: Int, d:Int ): Int {
        return (a..b).asSequence().filter { (it % c != 0L && it % d != 0L)  }.count()
    }
}