README.md (3136B)
1 <!-- 2 3 @license Apache-2.0 4 5 Copyright (c) 2018 The Stdlib Authors. 6 7 Licensed under the Apache License, Version 2.0 (the "License"); 8 you may not use this file except in compliance with the License. 9 You may obtain a copy of the License at 10 11 http://www.apache.org/licenses/LICENSE-2.0 12 13 Unless required by applicable law or agreed to in writing, software 14 distributed under the License is distributed on an "AS IS" BASIS, 15 WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 16 See the License for the specific language governing permissions and 17 limitations under the License. 18 19 --> 20 21 # lcm 22 23 > Compute the [least common multiple][lcm] (lcm). 24 25 <!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --> 26 27 <section class="intro"> 28 29 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). 30 31 </section> 32 33 <!-- /.intro --> 34 35 <!-- Package usage documentation. --> 36 37 <section class="usage"> 38 39 ## Usage 40 41 ```javascript 42 var lcm = require( '@stdlib/math/base/special/lcm' ); 43 ``` 44 45 #### lcm( a, b ) 46 47 Computes the [least common multiple][lcm] (lcm). 48 49 ```javascript 50 var v = lcm( 48, 18 ); 51 // returns 144 52 ``` 53 54 If either `a` or `b` is `0`, the function returns `0`. 55 56 ```javascript 57 var v = lcm( 0, 0 ); 58 // returns 0 59 60 v = lcm( 2, 0 ); 61 // returns 0 62 63 v = lcm( 0, 3 ); 64 // returns 0 65 ``` 66 67 Both `a` and `b` must have integer values; otherwise, the function returns `NaN`. 68 69 ```javascript 70 var v = lcm( 3.14, 18 ); 71 // returns NaN 72 73 v = lcm( 48, 3.14 ); 74 // returns NaN 75 76 v = lcm( NaN, 18 ); 77 // returns NaN 78 79 v = lcm( 48, NaN ); 80 // returns NaN 81 ``` 82 83 </section> 84 85 <!-- /.usage --> 86 87 <!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> 88 89 <section class="notes"> 90 91 </section> 92 93 <!-- /.notes --> 94 95 <!-- Package usage examples. --> 96 97 <section class="examples"> 98 99 ## Examples 100 101 <!-- eslint no-undef: "error" --> 102 103 ```javascript 104 var randu = require( '@stdlib/random/base/randu' ); 105 var round = require( '@stdlib/math/base/special/round' ); 106 var lcm = require( '@stdlib/math/base/special/lcm' ); 107 108 var a; 109 var b; 110 var v; 111 var i; 112 113 for ( i = 0; i < 100; i++ ) { 114 a = round( randu()*50 ); 115 b = round( randu()*50 ); 116 v = lcm( a, b ); 117 console.log( 'lcm(%d,%d) = %d', a, b, v ); 118 } 119 ``` 120 121 </section> 122 123 <!-- /.examples --> 124 125 <!-- 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. --> 126 127 <section class="references"> 128 129 </section> 130 131 <!-- /.references --> 132 133 <!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> 134 135 <section class="links"> 136 137 [lcm]: https://en.wikipedia.org/wiki/Least_common_multiple 138 139 </section> 140 141 <!-- /.links -->