56 lines
1.2 KiB
Markdown
56 lines
1.2 KiB
Markdown
---
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id: 5900f3ec1000cf542c50fefe
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challengeType: 5
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title: 'Problem 127: abc-hits'
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videoUrl: ''
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localeTitle: 问题127:abc-hits
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---
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## Description
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<section id="description"> 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。 </section>
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## Instructions
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<section id="instructions">
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler127()</code>应该返回18407904。
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testString: 'assert.strictEqual(euler127(), 18407904, "<code>euler127()</code> should return 18407904.");'
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler127() {
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// Good luck!
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return true;
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}
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euler127();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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