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<?php
namespace PhpOffice\PhpSpreadsheet\Calculation\MathTrig;
use PhpOffice\PhpSpreadsheet\Calculation\Exception;
use PhpOffice\PhpSpreadsheet\Calculation\Functions;
class Lcm
{
//
// Private method to return an array of the factors of the input value
//
private static function factors(float $value): array
{
$startVal = floor(sqrt($value));
$factorArray = [];
for ($i = $startVal; $i > 1; --$i) {
if (($value % $i) == 0) {
$factorArray = array_merge($factorArray, self::factors($value / $i));
$factorArray = array_merge($factorArray, self::factors($i));
if ($i <= sqrt($value)) {
break;
}
}
}
if (!empty($factorArray)) {
rsort($factorArray);
return $factorArray;
}
return [(int) $value];
}
/**
* LCM.
*
* Returns the lowest common multiplier of a series of numbers
* The least common multiple is the smallest positive integer that is a multiple
* of all integer arguments number1, number2, and so on. Use LCM to add fractions
* with different denominators.
*
* Excel Function:
* LCM(number1[,number2[, ...]])
*
* @param mixed ...$args Data values
*
* @return int|string Lowest Common Multiplier, or a string containing an error
*/
public static function evaluate(...$args)
{
try {
$arrayArgs = [];
$anyZeros = 0;
$anyNonNulls = 0;
foreach (Functions::flattenArray($args) as $value1) {
$anyNonNulls += (int) ($value1 !== null);
$value = Helpers::validateNumericNullSubstitution($value1, 1);
Helpers::validateNotNegative($value);
$arrayArgs[] = (int) $value;
$anyZeros += (int) !((bool) $value);
}
self::testNonNulls($anyNonNulls);
if ($anyZeros) {
return 0;
}
} catch (Exception $e) {
return $e->getMessage();
}
$returnValue = 1;
$allPoweredFactors = [];
// Loop through arguments
foreach ($arrayArgs as $value) {
$myFactors = self::factors(floor($value));
$myCountedFactors = array_count_values($myFactors);
$myPoweredFactors = [];
foreach ($myCountedFactors as $myCountedFactor => $myCountedPower) {
$myPoweredFactors[$myCountedFactor] = $myCountedFactor ** $myCountedPower;
}
self::processPoweredFactors($allPoweredFactors, $myPoweredFactors);
}
foreach ($allPoweredFactors as $allPoweredFactor) {
$returnValue *= (int) $allPoweredFactor;
}
return $returnValue;
}
private static function processPoweredFactors(array &$allPoweredFactors, array &$myPoweredFactors): void
{
foreach ($myPoweredFactors as $myPoweredValue => $myPoweredFactor) {
if (isset($allPoweredFactors[$myPoweredValue])) {
if ($allPoweredFactors[$myPoweredValue] < $myPoweredFactor) {
$allPoweredFactors[$myPoweredValue] = $myPoweredFactor;
}
} else {
$allPoweredFactors[$myPoweredValue] = $myPoweredFactor;
}
}
}
private static function testNonNulls(int $anyNonNulls): void
{
if (!$anyNonNulls) {
throw new Exception(Functions::VALUE());
}
}
}