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<p>给定不同面额的硬币 <code>coins</code> 和一个总金额 <code>amount</code>。编写一个函数来计算可以凑成总金额所需的最少的硬币个数。如果没有任何一种硬币组合能组成总金额,返回&nbsp;<code>-1</code></p>
<p>你可以认为每种硬币的数量是无限的。</p>
<p>&nbsp;</p>
<p><strong>示例&nbsp;1</strong></p>
<pre>
<strong>输入:</strong>coins = <code>[1, 2, 5]</code>, amount = <code>11</code>
<strong>输出:</strong><code>3</code>
<strong>解释:</strong>11 = 5 + 5 + 1</pre>
<p><strong>示例 2</strong></p>
<pre>
<strong>输入:</strong>coins = <code>[2]</code>, amount = <code>3</code>
<strong>输出:</strong>-1</pre>
<p><strong>示例 3</strong></p>
<pre>
<strong>输入:</strong>coins = [1], amount = 0
<strong>输出:</strong>0
</pre>
<p><strong>示例 4</strong></p>
<pre>
<strong>输入:</strong>coins = [1], amount = 1
<strong>输出:</strong>1
</pre>
<p><strong>示例 5</strong></p>
<pre>
<strong>输入:</strong>coins = [1], amount = 2
<strong>输出:</strong>2
</pre>
<p>&nbsp;</p>
<p><strong>提示:</strong></p>
<ul>
<li><code>1 &lt;= coins.length &lt;= 12</code></li>
<li><code>1 &lt;= coins[i] &lt;= 2<sup>31</sup> - 1</code></li>
<li><code>0 &lt;= amount &lt;= 10<sup>4</sup></code></li>
</ul>
<p>&nbsp;</p>
<p><meta charset="UTF-8" />注意:本题与主站 322&nbsp;题相同:&nbsp;<a href="https://leetcode-cn.com/problems/coin-change/">https://leetcode-cn.com/problems/coin-change/</a></p>