## Copyright (C) 1994-2020 The Octave Project Developers
##
## See the file COPYRIGHT.md in the top-level directory of this distribution
## or <https://octave.org/COPYRIGHT.html/>.
##
##
## This file is part of Octave.
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## under the terms of the GNU General Public License as published by
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## -*- texinfo -*-
## @deftypefn  {} {} lcm (@var{x}, @var{y})
## @deftypefnx {} {} lcm (@var{x}, @var{y}, @dots{})
## Compute the least common multiple of @var{x} and @var{y}, or of the list of
## all arguments.
##
## All elements must be numeric and of the same size or scalar.
## @seealso{factor, gcd, isprime}
## @end deftypefn

## Author: KH <Kurt.Hornik@wu-wien.ac.at>
## Created: 16 September 1994
## Adapted-By: jwe

function l = lcm (varargin)

  if (nargin < 2)
    print_usage ();
  endif

  if (common_size (varargin{:}) != 0)
    error ("lcm: all args must be the same size or scalar");
  elseif (! all (cellfun ("isnumeric", varargin)))
    error ("lcm: all arguments must be numeric");
  endif

  l = varargin{1};
  for i = 2:nargin
    x = varargin{i};
    msk = (l == 0 & x == 0);
    l .*= x ./ gcd (l, x);
    l(msk) = 0;
  endfor

endfunction


%!assert (lcm (3, 5, 7, 15), 105)

%!error lcm ()
%!error lcm (1)
%!error <same size or scalar> lcm ([1 2], [1 2 3])
%!error <arguments must be numeric> lcm ([1 2], {1 2})