1. Trace each of the above algorithm using specific values for a and b. 2. Compare both algorithms.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
Section: Chapter Questions
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euclids algorithm tracing

Problem 1: 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 versions of
Euclid's algorithm that uses repeated subtraction and another one that uses the remainder.
int gcd_sub (int a, int b)
int ged_rem (int a, int b)
{
{
if (!a)
int t;
return b;
while (b)
while (b)
{
if (a > b)
t = 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 specific values for a and b.
2. Compare both algorithms.
Transcribed Image Text:Problem 1: 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 versions of Euclid's algorithm that uses repeated subtraction and another one that uses the remainder. int gcd_sub (int a, int b) int ged_rem (int a, int b) { { if (!a) int t; return b; while (b) while (b) { if (a > b) t = 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 specific values for a and b. 2. Compare both algorithms.
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