AdventOfCode2023/UNumberTheory.pas

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{
Solutions to the Advent Of Code.
Copyright (C) 2023-2024 Stefan Müller
This program is free software: you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free Software
Foundation, either version 3 of the License, or (at your option) any later
version.
This program is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with
this program. If not, see <http://www.gnu.org/licenses/>.
}
unit UNumberTheory;
{$mode ObjFPC}{$H+}
interface
uses
Classes, SysUtils;
type
{ TNumberTheory }
TNumberTheory = class
public
class function GreatestCommonDivisor(AValue1, AValue2: Int64): Int64;
class function LeastCommonMultiple(AValue1, AValue2: Int64): Int64;
end;
implementation
{ TNumberTheory }
class function TNumberTheory.GreatestCommonDivisor(AValue1, AValue2: Int64): Int64;
var
t: Int64;
begin
AValue1 := Abs(AValue1);
AValue2 := Abs(AValue2);
while AValue2 <> 0 do
begin
t := AValue2;
AValue2 := AValue1 mod AValue2;
AValue1 := t;
end;
Result := AValue1;
end;
class function TNumberTheory.LeastCommonMultiple(AValue1, AValue2: Int64): Int64;
begin
Result := (Abs(AValue1) div GreatestCommonDivisor(AValue1, AValue2)) * Abs(AValue2);
end;
end.