public class Solution
extends Object
1240 - Tiling a Rectangle with the Fewest Squares\.
Hard
Given a rectangle of size `n` x `m`, return _the minimum number of integer-sided squares that tile the rectangle_.
**Example 1:**

**Input:** n = 2, m = 3
**Output:** 3
**Explanation:** `3` squares are necessary to cover the rectangle.
`2` (squares of `1x1`)
`1` (square of `2x2`)
**Example 2:**

**Input:** n = 5, m = 8
**Output:** 5
**Example 3:**

**Input:** n = 11, m = 13
**Output:** 6
**Constraints:**
* `1 <= n, m <= 13`