Euclid's algorithm (or the Euclidean algorithm) is an algorithm that computes the greatest common divisor, denoted by gcd, of two integers. Below are the original version of Euclid's algorithm that uses repeated subtraction and another one that uses the remainder. int gcd_sub (a,b) int a,b; int gcd_rem(a,b) int a,b; { { if (!a) int t; while (b) return b; while (b) { if (a > b) t = b;

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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* Euclid's algorithm (or the Euclidean algorithm) is an algorithm
that computes the greatest common divisor, denoted by gcd, of two integers. Below are the original
version of Euclid's algorithm that uses repeated subtraction and another one that uses the
remainder.
int gcd sub (a,b)
int gcd rem(a,b)
int a,b;
int a,b;
{
{
if (!a)
int t;
return b;
while (b)
while (b)
{
if (a > b)
= b;
a = a - b;
b =
a % b;
else
a
t;
b = b - a;
}
return a;
return a;
}
}
1. Trace each of the above algorithm using these values: a=24 and b = 18. Show your work
2. Compare both algorithms. That is, which one is better and why? Show your work.
Transcribed Image Text:* Euclid's algorithm (or the Euclidean algorithm) is an algorithm that computes the greatest common divisor, denoted by gcd, of two integers. Below are the original version of Euclid's algorithm that uses repeated subtraction and another one that uses the remainder. int gcd sub (a,b) int gcd rem(a,b) int a,b; int a,b; { { if (!a) int t; return b; while (b) while (b) { if (a > b) = b; a = a - b; b = a % b; else a t; b = b - a; } return a; return a; } } 1. Trace each of the above algorithm using these values: a=24 and b = 18. Show your work 2. Compare both algorithms. That is, which one is better and why? Show your work.
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