a. Euclid’s algorithm, as presented in Euclid’s

Authors:

Anany Levitin

Chapter:

Introduction

Exercise:

1.1 Exercise

Question:10 | ISBN:9780132316811 | Edition: 3

Question

a. Euclid’s algorithm, as presented in Euclid’s treatise, uses subtractions rather than integer divisions. Write pseudocode for this version of Euclid’s algorithm.
b. Euclid’s game (see [Bog]) starts with two unequal positive integers on the board. Two players move in turn. On each move, a player has to write on the board a positive number equal to the difference of two numbers already on the board; this number must be new, i.e., different from all the numbers already on the board. The player who cannot move loses the game. Should you choose to move first or second in this game?