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 C (Clang 3.8.0) (judge verdict: Wrong Answer)

//usr/bin/env picoc $0 - $@;exit
#include <stdio.h>
int main(){
  int a,b,c,d,cnt;
  cnt = 0;
  scanf("%d%d%d%d",&a,&b,&c,&d);
  //printf("%d%d%d%d",a,b,c,d);
  for(int i=a;i<=b;i++){
    if(i % c != 0 && i % d != 0){
      cnt++;
    }
  }
  printf("%d\n",cnt);
}