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38 lines
1.1 KiB
HTML
<p>Given a positive integer <code>k</code>, you need to find the <strong>length</strong> of the <strong>smallest</strong> positive integer <code>n</code> such that <code>n</code> is divisible by <code>k</code>, and <code>n</code> only contains the digit <code>1</code>.</p>
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<p>Return <em>the <strong>length</strong> of </em><code>n</code>. If there is no such <code>n</code>, return -1.</p>
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<p><strong>Note:</strong> <code>n</code> may not fit in a 64-bit signed integer.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> k = 1
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<strong>Output:</strong> 1
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<strong>Explanation:</strong> The smallest answer is n = 1, which has length 1.
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> k = 2
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<strong>Output:</strong> -1
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<strong>Explanation:</strong> There is no such positive integer n divisible by 2.
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</pre>
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<p><strong>Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> k = 3
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<strong>Output:</strong> 3
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<strong>Explanation:</strong> The smallest answer is n = 111, which has length 3.
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= k <= 10<sup>5</sup></code></li>
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</ul>
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