#C1445. Largest Square Garden Plot

    ID: 44100 Type: Default 1000ms 256MiB

Largest Square Garden Plot

Largest Square Garden Plot

Given the dimensions of a rectangular garden and the total number of plants planted within it, your task is to determine the side length of the largest square plot that can evenly partition the garden.

Mathematically, the answer is the greatest common divisor (GCD) of the garden's length and width. Although the total number of plants is provided as part of the input, it is not required for the computation.

The formula for the answer is given by: $$ \text{answer} = \gcd(\text{length}, \text{width}) $$

inputFormat

The input consists of three space-separated integers: length, width, and num_plants. For example: 10 5 50.

outputFormat

Output a single integer representing the side length of the largest square plot that can evenly divide the garden.## sample

10 5 50
5