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leetcode-problemset/leetcode/originData/divisible-and-non-divisible-sums-difference.json
2023-12-09 19:57:46 +08:00

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"title": "Divisible and Non-divisible Sums Difference",
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"content": "<p>You are given positive integers <code>n</code> and <code>m</code>.</p>\n\n<p>Define two integers, <code>num1</code> and <code>num2</code>, as follows:</p>\n\n<ul>\n\t<li><code>num1</code>: The sum of all integers in the range <code>[1, n]</code> that are <strong>not divisible</strong> by <code>m</code>.</li>\n\t<li><code>num2</code>: The sum of all integers in the range <code>[1, n]</code> that are <strong>divisible</strong> by <code>m</code>.</li>\n</ul>\n\n<p>Return <em>the integer</em> <code>num1 - num2</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 10, m = 3\n<strong>Output:</strong> 19\n<strong>Explanation:</strong> In the given example:\n- Integers in the range [1, 10] that are not divisible by 3 are [1,2,4,5,7,8,10], num1 is the sum of those integers = 37.\n- Integers in the range [1, 10] that are divisible by 3 are [3,6,9], num2 is the sum of those integers = 18.\nWe return 37 - 18 = 19 as the answer.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 5, m = 6\n<strong>Output:</strong> 15\n<strong>Explanation:</strong> In the given example:\n- Integers in the range [1, 5] that are not divisible by 6 are [1,2,3,4,5], num1 is the sum of those integers = 15.\n- Integers in the range [1, 5] that are divisible by 6 are [], num2 is the sum of those integers = 0.\nWe return 15 - 0 = 15 as the answer.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 5, m = 1\n<strong>Output:</strong> -15\n<strong>Explanation:</strong> In the given example:\n- Integers in the range [1, 5] that are not divisible by 1 are [], num1 is the sum of those integers = 0.\n- Integers in the range [1, 5] that are divisible by 1 are [1,2,3,4,5], num2 is the sum of those integers = 15.\nWe return 0 - 15 = -15 as the answer.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n, m &lt;= 1000</code></li>\n</ul>\n",
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