2018-10-10 18:03:03 -04:00
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---
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id: 5900f39c1000cf542c50feae
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2020-12-16 00:37:30 -07:00
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title: 问题47:不同的素数因素
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2018-10-10 18:03:03 -04:00
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challengeType: 5
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videoUrl: ''
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---
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2020-12-16 00:37:30 -07:00
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# --description--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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前两个连续数字有两个不同的素数因子是:
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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14 = 2×7
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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15 = 3×5
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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前三个连续数字有三个不同的素因子:
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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644 =2²×7×23
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2018-10-10 18:03:03 -04:00
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645 = 3×5×43
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2018-10-10 18:03:03 -04:00
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646 = 2×17×19
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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找到前四个连续的整数,每个整数有四个不同的素数因子。这些数字中的第一个是什么?
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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# --hints--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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`distinctPrimeFactors(2, 2)`应该返回14。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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```js
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assert.strictEqual(distinctPrimeFactors(2, 2), 14);
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```
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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`distinctPrimeFactors(3, 3)`应该返回644。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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```js
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assert.strictEqual(distinctPrimeFactors(3, 3), 644);
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```
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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`distinctPrimeFactors(4, 4)`应该返回134043。
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2018-10-10 18:03:03 -04:00
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```js
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2020-12-16 00:37:30 -07:00
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assert.strictEqual(distinctPrimeFactors(4, 4), 134043);
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```
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2020-08-13 17:24:35 +02:00
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2020-12-16 00:37:30 -07:00
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# --solutions--
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