|
1
|
|
|
<?php |
|
2
|
|
|
|
|
3
|
|
|
namespace PhpOffice\PhpSpreadsheet\Calculation\MathTrig; |
|
4
|
|
|
|
|
5
|
|
|
use Exception; |
|
6
|
|
|
use PhpOffice\PhpSpreadsheet\Calculation\Functions; |
|
7
|
|
|
|
|
8
|
|
|
class Lcm |
|
9
|
|
|
{ |
|
10
|
|
|
// |
|
11
|
|
|
// Private method to return an array of the factors of the input value |
|
12
|
|
|
// |
|
13
|
12 |
|
private static function factors($value) |
|
14
|
|
|
{ |
|
15
|
12 |
|
$startVal = floor(sqrt($value)); |
|
16
|
|
|
|
|
17
|
12 |
|
$factorArray = []; |
|
18
|
12 |
|
for ($i = $startVal; $i > 1; --$i) { |
|
19
|
12 |
|
if (($value % $i) == 0) { |
|
20
|
9 |
|
$factorArray = array_merge($factorArray, self::factors($value / $i)); |
|
21
|
9 |
|
$factorArray = array_merge($factorArray, self::factors($i)); |
|
22
|
9 |
|
if ($i <= sqrt($value)) { |
|
23
|
9 |
|
break; |
|
24
|
|
|
} |
|
25
|
|
|
} |
|
26
|
|
|
} |
|
27
|
12 |
|
if (!empty($factorArray)) { |
|
28
|
9 |
|
rsort($factorArray); |
|
29
|
|
|
|
|
30
|
9 |
|
return $factorArray; |
|
31
|
|
|
} |
|
32
|
|
|
|
|
33
|
12 |
|
return [(int) $value]; |
|
34
|
|
|
} |
|
35
|
|
|
|
|
36
|
|
|
/** |
|
37
|
|
|
* LCM. |
|
38
|
|
|
* |
|
39
|
|
|
* Returns the lowest common multiplier of a series of numbers |
|
40
|
|
|
* The least common multiple is the smallest positive integer that is a multiple |
|
41
|
|
|
* of all integer arguments number1, number2, and so on. Use LCM to add fractions |
|
42
|
|
|
* with different denominators. |
|
43
|
|
|
* |
|
44
|
|
|
* Excel Function: |
|
45
|
|
|
* LCM(number1[,number2[, ...]]) |
|
46
|
|
|
* |
|
47
|
|
|
* @param mixed ...$args Data values |
|
48
|
|
|
* |
|
49
|
|
|
* @return int|string Lowest Common Multiplier, or a string containing an error |
|
50
|
|
|
*/ |
|
51
|
18 |
|
public static function funcLcm(...$args) |
|
52
|
|
|
{ |
|
53
|
|
|
try { |
|
54
|
18 |
|
$arrayArgs = []; |
|
55
|
18 |
|
$anyZeros = 0; |
|
56
|
18 |
|
foreach (Functions::flattenArray($args) as $value1) { |
|
57
|
18 |
|
$value = Helpers::validateNumericNullSubstitution($value1, 1); |
|
58
|
18 |
|
Helpers::validateNotNegative($value); |
|
59
|
18 |
|
$arrayArgs[] = (int) $value; |
|
60
|
18 |
|
$anyZeros += (int) !((bool) $value); |
|
61
|
|
|
} |
|
62
|
13 |
|
if ($anyZeros) { |
|
63
|
13 |
|
return 0; |
|
64
|
|
|
} |
|
65
|
5 |
|
} catch (Exception $e) { |
|
66
|
5 |
|
return $e->getMessage(); |
|
67
|
|
|
} |
|
68
|
|
|
|
|
69
|
12 |
|
$returnValue = 1; |
|
70
|
12 |
|
$allPoweredFactors = []; |
|
71
|
|
|
// Loop through arguments |
|
72
|
12 |
|
foreach ($arrayArgs as $value) { |
|
73
|
12 |
|
$myFactors = self::factors(floor($value)); |
|
74
|
12 |
|
$myCountedFactors = array_count_values($myFactors); |
|
75
|
12 |
|
$myPoweredFactors = []; |
|
76
|
12 |
|
foreach ($myCountedFactors as $myCountedFactor => $myCountedPower) { |
|
77
|
12 |
|
$myPoweredFactors[$myCountedFactor] = $myCountedFactor ** $myCountedPower; |
|
78
|
|
|
} |
|
79
|
12 |
|
foreach ($myPoweredFactors as $myPoweredValue => $myPoweredFactor) { |
|
80
|
12 |
|
if (isset($allPoweredFactors[$myPoweredValue])) { |
|
81
|
9 |
|
if ($allPoweredFactors[$myPoweredValue] < $myPoweredFactor) { |
|
82
|
9 |
|
$allPoweredFactors[$myPoweredValue] = $myPoweredFactor; |
|
83
|
|
|
} |
|
84
|
|
|
} else { |
|
85
|
12 |
|
$allPoweredFactors[$myPoweredValue] = $myPoweredFactor; |
|
86
|
|
|
} |
|
87
|
|
|
} |
|
88
|
|
|
} |
|
89
|
12 |
|
foreach ($allPoweredFactors as $allPoweredFactor) { |
|
90
|
12 |
|
$returnValue *= (int) $allPoweredFactor; |
|
91
|
|
|
} |
|
92
|
|
|
|
|
93
|
12 |
|
return $returnValue; |
|
94
|
|
|
} |
|
95
|
|
|
} |
|
96
|
|
|
|
PHPOffice /
PhpSpreadsheet
