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: Wrong Answer)

fun main(args: Array<String>) {
    val (min, max, numC, numD) = readLine()!!.split(" ").map { it.toLong() }
    val common = numC * numD
    val total = 1 + max - min

    print(total - (countSet(min, max, numC) + countSet(min, max, numD) - countSet(min, max, common)))
}

fun countSet(min: Long, max: Long, num: Long): Long {
    val tempTotal = max / num
    val outside = (min - 1) / num

    return tempTotal - outside
}