2018-10-10 18:03:03 -04:00
|
|
|
|
---
|
|
|
|
|
id: 5900f3ec1000cf542c50fefe
|
2020-12-16 00:37:30 -07:00
|
|
|
|
title: 问题127:abc-hits
|
2018-10-10 18:03:03 -04:00
|
|
|
|
challengeType: 5
|
|
|
|
|
videoUrl: ''
|
2021-01-13 03:31:00 +01:00
|
|
|
|
dashedName: problem-127-abc-hits
|
2018-10-10 18:03:03 -04:00
|
|
|
|
---
|
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
# --description--
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
n,rad(n)的基数是n的不同素因子的乘积。例如,504 = 23×32×7,因此rad(504)= 2×3×7 = 42.如果出现以下情况,我们将正整数(a,b,c)的三元组定义为abc-hit:GCD( a,b)= GCD(a,c)= GCD(b,c)= 1 a <ba + b = c rad(abc)<c例如,(5,27,32)是abc-hit,因为:GCD(5,27)= GCD(5,32)= GCD(27,32)= 1 5 <27 5 + 27 = 32 rad(4320)= 30 <32事实证明abc-hits是非常罕见的c <1000只有31次abc命中,Σc= 12523。查找Σc表示c <120000。
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
# --hints--
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
`euler127()`应该返回18407904。
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
|
|
|
|
```js
|
2020-12-16 00:37:30 -07:00
|
|
|
|
assert.strictEqual(euler127(), 18407904);
|
2018-10-10 18:03:03 -04:00
|
|
|
|
```
|
|
|
|
|
|
2021-01-13 03:31:00 +01:00
|
|
|
|
# --seed--
|
|
|
|
|
|
|
|
|
|
## --seed-contents--
|
|
|
|
|
|
|
|
|
|
```js
|
|
|
|
|
function euler127() {
|
|
|
|
|
|
|
|
|
|
return true;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
euler127();
|
|
|
|
|
```
|
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
# --solutions--
|
2020-08-13 17:24:35 +02:00
|
|
|
|
|
2021-01-13 03:31:00 +01:00
|
|
|
|
```js
|
|
|
|
|
// solution required
|
|
|
|
|
```
|