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lcm
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Compute the [least common multiple][lcm] (lcm).
a
and b
is the smallest positive integer that is divisible by both a
and b
. The lcm is also known as the lowest common multiple or smallest common multiple and finds common use in calculating the lowest common denominator (lcd).
bash
npm install @stdlib/math-base-special-lcm
javascript
var lcm = require( '@stdlib/math-base-special-lcm' );
#### lcm( a, b )
Computes the [least common multiple][lcm] (lcm).
javascript
var v = lcm( 48, 18 );
// returns 144
If either a
or b
is 0
, the function returns 0
.
javascript
var v = lcm( 0, 0 );
// returns 0
v = lcm( 2, 0 );
// returns 0
v = lcm( 0, 3 );
// returns 0
Both a
and b
must have integer values; otherwise, the function returns NaN
.
javascript
var v = lcm( 3.14, 18 );
// returns NaN
v = lcm( 48, 3.14 );
// returns NaN
v = lcm( NaN, 18 );
// returns NaN
v = lcm( 48, NaN );
// returns NaN
javascript
var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var lcm = require( '@stdlib/math-base-special-lcm' );
var a;
var b;
var v;
var i;
for ( i = 0; i < 100; i++ ) {
a = round( randu()*50 );
b = round( randu()*50 );
v = lcm( a, b );
console.log( 'lcm(%d,%d) = %d', a, b, v );
}
c
#include "stdlib/math/base/special/lcm.h"
#### stdlib_base_lcm( a, b )
Computes the [least common multiple][lcm] (lcm).
c
double v = stdlib_base_lcm( 48.0, 18.0 );
// returns 144.0
The function accepts the following arguments:
- a: [in] double
input value.
- b: [in] double
input value.
c
double stdlib_base_lcm( const double a, const double b );
c
#include "stdlib/math/base/special/lcm.h"
#include <stdio.h>
int main( void ) {
const double a[] = { 24.0, 32.0, 48.0, 116.0, 33.0 };
const double b[] = { 12.0, 6.0, 15.0, 52.0, 22.0 };
double out;
int i;
for ( i = 0; i < 5; i++ ) {
out = stdlib_base_lcm( a[ i ], b[ i ] );
printf( "lcm(%lf, %lf) = %lf\n", a[ i ], b[ i ], out );
}
}
@stdlib/math-base/special/gcd
][@stdlib/math/base/special/gcd]: compute the greatest common divisor (gcd).