mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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180 lines
17 KiB
JSON
180 lines
17 KiB
JSON
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"title": "Number of Beautiful Pairs",
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"content": "<p>You are given a <strong>0-indexed </strong>integer array <code>nums</code>. A pair of indices <code>i</code>, <code>j</code> where <code>0 <= i < j < nums.length</code> is called beautiful if the <strong>first digit</strong> of <code>nums[i]</code> and the <strong>last digit</strong> of <code>nums[j]</code> are <strong>coprime</strong>.</p>\n\n<p>Return <em>the total number of beautiful pairs in </em><code>nums</code>.</p>\n\n<p>Two integers <code>x</code> and <code>y</code> are <strong>coprime</strong> if there is no integer greater than 1 that divides both of them. In other words, <code>x</code> and <code>y</code> are coprime if <code>gcd(x, y) == 1</code>, where <code>gcd(x, y)</code> is the <strong>greatest common divisor</strong> of <code>x</code> and <code>y</code>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,5,1,4]\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> There are 5 beautiful pairs in nums:\nWhen i = 0 and j = 1: the first digit of nums[0] is 2, and the last digit of nums[1] is 5. We can confirm that 2 and 5 are coprime, since gcd(2,5) == 1.\nWhen i = 0 and j = 2: the first digit of nums[0] is 2, and the last digit of nums[2] is 1. Indeed, gcd(2,1) == 1.\nWhen i = 1 and j = 2: the first digit of nums[1] is 5, and the last digit of nums[2] is 1. Indeed, gcd(5,1) == 1.\nWhen i = 1 and j = 3: the first digit of nums[1] is 5, and the last digit of nums[3] is 4. Indeed, gcd(5,4) == 1.\nWhen i = 2 and j = 3: the first digit of nums[2] is 1, and the last digit of nums[3] is 4. Indeed, gcd(1,4) == 1.\nThus, we return 5.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [11,21,12]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> There are 2 beautiful pairs:\nWhen i = 0 and j = 1: the first digit of nums[0] is 1, and the last digit of nums[1] is 1. Indeed, gcd(1,1) == 1.\nWhen i = 0 and j = 2: the first digit of nums[0] is 1, and the last digit of nums[2] is 2. Indeed, gcd(1,2) == 1.\nThus, we return 2.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 <= nums.length <= 100</code></li>\n\t<li><code>1 <= nums[i] <= 9999</code></li>\n\t<li><code>nums[i] % 10 != 0</code></li>\n</ul>\n",
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"Since nums.length is small, you can find all pairs of indices and check if each pair is beautiful.",
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"Use integer to string conversion to get the first and last digit of each number."
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