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.
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
Section: Chapter Questions
Problem 1PE
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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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