142 lines
3.1 KiB
Markdown
142 lines
3.1 KiB
Markdown
|
<!--
|
||
|
|
||
|
@license Apache-2.0
|
||
|
|
||
|
Copyright (c) 2018 The Stdlib Authors.
|
||
|
|
||
|
Licensed under the Apache License, Version 2.0 (the "License");
|
||
|
you may not use this file except in compliance with the License.
|
||
|
You may obtain a copy of the License at
|
||
|
|
||
|
http://www.apache.org/licenses/LICENSE-2.0
|
||
|
|
||
|
Unless required by applicable law or agreed to in writing, software
|
||
|
distributed under the License is distributed on an "AS IS" BASIS,
|
||
|
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||
|
See the License for the specific language governing permissions and
|
||
|
limitations under the License.
|
||
|
|
||
|
-->
|
||
|
|
||
|
# lcm
|
||
|
|
||
|
> Compute the [least common multiple][lcm] (lcm).
|
||
|
|
||
|
<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
|
||
|
|
||
|
<section class="intro">
|
||
|
|
||
|
The [least common multiple][lcm] (lcm) of two non-zero integers `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).
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.intro -->
|
||
|
|
||
|
<!-- Package usage documentation. -->
|
||
|
|
||
|
<section class="usage">
|
||
|
|
||
|
## Usage
|
||
|
|
||
|
```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
|
||
|
```
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.usage -->
|
||
|
|
||
|
<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
|
||
|
|
||
|
<section class="notes">
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.notes -->
|
||
|
|
||
|
<!-- Package usage examples. -->
|
||
|
|
||
|
<section class="examples">
|
||
|
|
||
|
## Examples
|
||
|
|
||
|
<!-- eslint no-undef: "error" -->
|
||
|
|
||
|
```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 );
|
||
|
}
|
||
|
```
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.examples -->
|
||
|
|
||
|
<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
|
||
|
|
||
|
<section class="references">
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.references -->
|
||
|
|
||
|
<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
|
||
|
|
||
|
<section class="links">
|
||
|
|
||
|
[lcm]: https://en.wikipedia.org/wiki/Least_common_multiple
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.links -->
|