Problem

You are given positive integers $N$, $A$, $B$. Here, $A \neq B$.

Output the number of integers between $1$ and $N$, inclusive, that are divisible by either $A$ or $B$, but not both.

Constraints

• $1 \le N \le 100$.
• $1 \le A \le 100$.
• $1 \le B \le 100$.
• $A \neq B$.
• All input values are integers.

Input

The input is given in the following format:

N
A
B

Output

Output the number of integers between $1$ and $N$, inclusive, that are divisible by either $A$ or $B$, but not both, omitting the unit.

Do not output anything other than the answer. (Do not output sentences prompting for input, etc.)

Sample Input and Output

Sample Input 1

6
2
3

Sample Output 1

3

• $1$ is divisible by neither $2$ nor $3$.
• $2$ is divisible by $2$, but not divisible by $3$.
• $3$ is not divisible by $2$, but is divisible by $3$.
• $4$ is divisible by $2$, but not divisible by $3$.
• $5$ is divisible by neither $2$ nor $3$.
• $6$ is divisible by both $2$ and $3$.

Thus, among the integers between $1$ and $6$, inclusive, there are $3$ integers that are divisible by either $2$ or $3$, but not both: $2$, $3$, and $4$. Therefore, output $3$.

Sample Input 2

1
5
3

Sample Output 2

0

• $1$ is divisible by neither $5$ nor $3$.

Thus, among the integers between $1$ and $1$, inclusive, there is not even $1$ integer divisible by either $5$ or $3$, but not both; that is, there are $0$ such integers. Therefore, output $0$.

Sample Input 3

100
1
2

Sample Output 3

50

Among the integers between $1$ and $100$, inclusive, the integers divisible by either $1$ or $2$, but not both, are all the $50$ odd numbers between $1$ and $100$, inclusive. Therefore, output $50$.