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<p><strong>示例 1:</strong></p>
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<pre><strong>输入:</strong>nums = [7,21,3]
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<pre>
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<strong>输入:</strong>nums = [7,21,3]
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<strong>输出:</strong>true
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<strong>解释:</strong>可以执行下述操作完成对 [7,21,3] 的排序:
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- 交换 7 和 21 因为 gcd(7,21) = 7 。nums = [<em><strong>21</strong></em>,<em><strong>7</strong></em>,3]
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- 交换 21 和 3 因为 gcd(21,3) = 3 。nums = [<em><strong>3</strong></em>,7,<em><strong>21</strong></em>]
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- 交换 7 和 21 因为 gcd(7,21) = 7 。nums = [<u><strong>21</strong></u>,<u><strong>7</strong></u>,3]
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- 交换 21 和 3 因为 gcd(21,3) = 3 。nums = [<u><strong>3</strong></u>,7,<u><strong>21</strong></u>]
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</pre>
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<p><strong>示例 2:</strong></p>
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<pre><strong>输入:</strong>nums = [5,2,6,2]
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<pre>
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<strong>输入:</strong>nums = [5,2,6,2]
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<strong>输出:</strong>false
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<strong>解释:</strong>无法完成排序,因为 5 不能与其他元素交换。
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</pre>
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<p><strong>示例 3:</strong></p>
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<pre><strong>输入:</strong>nums = [10,5,9,3,15]
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<pre>
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<strong>输入:</strong>nums = [10,5,9,3,15]
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<strong>输出:</strong>true
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<strong>解释:</strong>
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可以执行下述操作完成对 [10,5,9,3,15] 的排序:
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- 交换 10 和 15 因为 gcd(10,15) = 5 。nums = [<em><strong>15</strong></em>,5,9,3,<em><strong>10</strong></em>]
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- 交换 15 和 3 因为 gcd(15,3) = 3 。nums = [<em><strong>3</strong></em>,5,9,<em><strong>15</strong></em>,10]
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- 交换 10 和 15 因为 gcd(10,15) = 5 。nums = [3,5,9,<em><strong>10</strong></em>,<em><strong>15</strong></em>]
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- 交换 10 和 15 因为 gcd(10,15) = 5 。nums = [<u><strong>15</strong></u>,5,9,3,<u><strong>10</strong></u>]
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- 交换 15 和 3 因为 gcd(15,3) = 3 。nums = [<u><strong>3</strong></u>,5,9,<u><strong>15</strong></u>,10]
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- 交换 10 和 15 因为 gcd(10,15) = 5 。nums = [3,5,9,<u><strong>10</strong></u>,<u><strong>15</strong></u>]
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</pre>
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<p> </p>
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