101312: [AtCoder]ABC131 C - Anti-Division
Memory Limit:256 MB
Time Limit:2 S
Judge Style:Text Compare
Creator:
Submit:0
Solved:0
Description
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