Check whether two convex regular polygon have same center or not

Given two positive integers N and M which denotes the sides of the convex regular polygon where N < M, the task is to check whether polygons have the same center or not if N-sided polygon was inscribed in an M-sided polygon.
Center of Polygon: Point inside a polygon which is equidistant from each vertex of the polygon. 
Examples:

Input: N = 9, M = 3 
Output: YES 
Explanation:
Polygon of side 3 when inscribed in a polygon of side 9, then both polygons have same center.
Input: N = 10, M = 3 
Output: NO 
Explanation:
Polygon of side 3 when inscribed in a polygon of side 10, then both polygons don't have same center. 

Approach: The key observation in this problem is that when M % N == 0, that means the sides of N-sided polygon equally covers the sides of M-sided polygon, which means both the polygons have same center.
Algorithm:

• Check if M is divisible by N, If yes then both the polygons have same center.
• Otherwise both polygons have the different centers.

Below is the implementation of the above approach:

YES

Performance Analysis:

• Time Complexity: O(1).
• Auxiliary Space: O(1).