Two-Bill Purchase

You can pay using only two kinds of bills: bills worth P and bills worth Q. You may use as many bills of each kind as needed.

An item costs D. To buy it, the amount paid must be at least D. Find the smallest amount that can be paid.

The first line contains D, P, and Q separated by spaces. Each value is a natural number not greater than 10^9.

Print the minimum amount that can be paid to buy the item.