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: Time Limit Exceeded)

#include <stdio.h>
#include <stdlib.h>

int main(){

  float A,B,C,D,i;
  int count = 0;
  int ans;

  scanf("%f",&A);
  scanf("%f",&B);
  scanf("%f",&C);
  scanf("%f",&D);

  for(i = A; i <= B; i++){
    if((int)i%(int)C==0){
      count+=1;
    }else if((int)i%(int)D==0){
      count+=1;
    }
  }
  ans = B-A+1-count;
  printf("%d",ans);
  return 0;
}