2019-11-02 12:07:41 +08:00
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# 49. 丑数
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[NowCoder](https://www.nowcoder.com/practice/6aa9e04fc3794f68acf8778237ba065b?tpId=13&tqId=11186&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking&from=cyc_github)
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## 题目描述
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把只包含因子 2、3 和 5 的数称作丑数（Ugly Number）。例如 6、8 都是丑数，但 14 不是，因为它包含因子 7。习惯上我们把 1 当做是第一个丑数。求按从小到大的顺序的第 N 个丑数。
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## 解题思路
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```java
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public int GetUglyNumber_Solution(int N) {
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if (N <= 6)
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return N;
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int i2 = 0, i3 = 0, i5 = 0;
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int[] dp = new int[N];
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dp[0] = 1;
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for (int i = 1; i < N; i++) {
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int next2 = dp[i2] * 2, next3 = dp[i3] * 3, next5 = dp[i5] * 5;
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dp[i] = Math.min(next2, Math.min(next3, next5));
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if (dp[i] == next2)
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i2++;
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if (dp[i] == next3)
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i3++;
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if (dp[i] == next5)
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i5++;
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}
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return dp[N - 1];
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}
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```
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2019-11-02 17:33:10 +08:00
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<div align="center"><img width="320px" src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/githubio/公众号二维码-2.png"></img></div>
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