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    Question

    给定 \(n\) 种硬币，第 \(i\) 个硬币的面值为 \(coins[i - 1]\) ，目标金额为 \(amt\) ，每种硬币可以重复选取，问能够凑出目标金额的最少硬币个数。如果无法凑出目标金额则返回 \(-1\) 。

    -

    贪心算法会迭代地做出一个又一个的贪心选择，每轮都将问题转化成一个规模更小的子问题，直到问题被解决。

    这道题的贪心策略在生活中很常见：给定目标金额，我们贪心地选择不大于且最接近它的硬币，不断循环该步骤，直至凑出目标金额为止。

    零钱兑换的贪心策略

    Fig. 零钱兑换的贪心策略

    @@ -3512,7 +3541,7 @@

    15.1.2.   贪心算法特性

    那么问题来了，什么样的问题适合用贪心算法求解呢？或者说，贪心算法在什么情况下可以保证找到最优解？

    -

    相较于动态规划，贪心算法的使用条件更加苛刻，其主要关心问题的两个性质：

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    相较于动态规划，贪心算法的使用条件更加苛刻，其主要关注问题的两个性质：

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  • 15.2   分数背包问题
  • 15.3   最大容量问题
  • 15.4   最大切分乘积问题
    • +
  • 15.5   小结
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    - Summary + 15.5.   小结
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    Summary

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    15.5.   小结

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    评论

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