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 JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

function Main(input){ 
  var A = input.split(" ")[0];
  A = parseInt(A,10);
  var B = input.split(" ")[1];
  B = parseInt(B,10);
  var C = input.split(" ")[2];
  C = parseInt(C,10);
  var D = input.split(" ")[3];
  D = parseInt(D,10);
  var sum = B - A + 1;
  var Cn = Math.floor(sum/C);
  var Dn = Math.floor(sum/D);
  var CDn = Math.floor(sum/(C*D));
  var answer = sum - (Cn + Dn - CDn);
  console.log(answer);
  
}
  Main(require('fs').readFileSync('/dev/stdin','utf8'));