Mercurial > hg > octave-lyh
view scripts/elfun/gcd.m @ 904:3470f1e25a79
[project @ 1994-11-09 21:22:15 by jwe]
author | jwe |
---|---|
date | Wed, 09 Nov 1994 21:22:15 +0000 |
parents | 6544b83ef9e9 |
children | 9fc405c8c06c |
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function [g, v] = gcd (a, ...) # [g [, v]] = gcd (a) returns the greatest common divisor g of the # entries of the integer vector a, and an integer vector v such that # g = v(1) * a(k) + ... + v(k) * a(k). # # [g [, v]] = gcd (a1, ..., ak) is the same with a = [a1, ..., ak]. # Written by KH (Kurt.Hornik@ci.tuwien.ac.at) on Sep 16, 1994 # Copyright Dept of Statistics and Probability Theory TU Wien if (nargin > 1) va_start; for k = 2:nargin; a = [a, va_arg ()]; endfor endif if (round (a) != a) error ("gcd: all arguments must be integer"); endif g = abs (a(1)); v = sign (a(1)); for k = 1:(length (a) - 1) x = [g, 1, 0]; y = [abs (a(k+1)), 0, 1]; while (y(1) > 0) r = x - y * floor (x(1) / y(1)); x = y; y = r; endwhile g = x(1); v = [x(2) * v, x(3) * sign (a(k+1))]; endfor endfunction