2018-10-10 18:03:03 -04:00
|
|
|
|
---
|
|
|
|
|
id: 5900f50f1000cf542c510021
|
|
|
|
|
challengeType: 5
|
|
|
|
|
videoUrl: ''
|
2020-10-01 17:54:21 +02:00
|
|
|
|
title: 问题418:三重分解
|
2018-10-10 18:03:03 -04:00
|
|
|
|
---
|
|
|
|
|
|
|
|
|
|
## Description
|
2020-02-18 01:40:55 +09:00
|
|
|
|
<section id="description">
|
|
|
|
|
令n为正整数。 在以下情况下,整数三元组(a,b,c)称为n的分解三元组:
|
|
|
|
|
a·b·c = n。
|
|
|
|
|
|
|
|
|
|
将f(n)定义为n的因式分解三元组(a,b,c)的a + b + c,使c / a最小。 可以证明这一三元组是独特的。
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
例如,f(165)= 19,f(100100)= 142,f(20!)= 4034872。
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
查找f(43!)。
|
|
|
|
|
</section>
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
|
|
|
|
## Instructions
|
2020-02-18 01:40:55 +09:00
|
|
|
|
<section id="instructions">
|
|
|
|
|
</section>
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
|
|
|
|
## Tests
|
|
|
|
|
<section id='tests'>
|
|
|
|
|
|
|
|
|
|
```yml
|
|
|
|
|
tests:
|
2020-02-18 01:40:55 +09:00
|
|
|
|
- text: <code>euler418()</code>应该返回1177163565297340400。
|
|
|
|
|
testString: assert.strictEqual(euler418(), 1177163565297340400);
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
|
|
|
|
```
|
|
|
|
|
|
|
|
|
|
</section>
|
|
|
|
|
|
|
|
|
|
## Challenge Seed
|
|
|
|
|
<section id='challengeSeed'>
|
|
|
|
|
|
|
|
|
|
<div id='js-seed'>
|
|
|
|
|
|
|
|
|
|
```js
|
|
|
|
|
function euler418() {
|
|
|
|
|
// Good luck!
|
|
|
|
|
return true;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
euler418();
|
|
|
|
|
|
|
|
|
|
```
|
|
|
|
|
|
|
|
|
|
</div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</section>
|
|
|
|
|
|
|
|
|
|
## Solution
|
|
|
|
|
<section id='solution'>
|
|
|
|
|
|
|
|
|
|
```js
|
|
|
|
|
// solution required
|
|
|
|
|
```
|
2020-08-13 17:24:35 +02:00
|
|
|
|
|
|
|
|
|
/section>
|