Write an alternative gcd function based on the following observations (arrange so that a > b):  a. gcd(a, b) = 2gcd(a/2, b/2) if a and b are both even.  b. gcd(a, b) = gcd(a/2, b) if a is even and b is odd.  c. gcd(a, b) = gcd(a, b/2) if a is odd and b is even.  d. gcd(a, b) = gcd((a + b)/2, (a − b)/2) if a and b are both odd. Write a main function to test your gcd function.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Write an alternative gcd function based on the following observations (arrange so that a
> b):
 a. gcd(a, b) = 2gcd(a/2, b/2) if a and b are both even.
 b. gcd(a, b) = gcd(a/2, b) if a is even and b is odd.
 c. gcd(a, b) = gcd(a, b/2) if a is odd and b is even.
 d. gcd(a, b) = gcd((a + b)/2, (a − b)/2) if a and b are both odd.
Write a main function to test your gcd function.

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