#AT1637. A - Takoyaki

A - Takoyaki

A - Takoyaki

Score : $100$ points

Problem Statement

Takahashi loves takoyaki - a ball-shaped snack.

With a takoyaki machine, he can make at most $X$ pieces of takoyaki at a time, taking $T$ minutes regardless of the number of pieces to make.

How long does it take to make $N$ takoyaki?

Constraints

  • $1 \leq N,X,T \leq 1000$
  • All values in input are integers.

Input

Input is given from Standard Input in the following format:

NN XX TT

Output

Print an integer representing the minimum number of minutes needed to make $N$ pieces of takoyaki.


20 12 6
12

He can make $12$ pieces of takoyaki in the first $6$ minutes and $8$ more in the next $6$ minutes, so he can make $20$ in a total of $12$ minutes.

Note that being able to make $12$ in $6$ minutes does not mean he can make $2$ in $1$ minute.


1000 1 1000
1000000

It seems to take a long time to make this kind of takoyaki.