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| 1 | +/** |
| 2 | + * [1979] Find Greatest Common Divisor of Array |
| 3 | + * |
| 4 | + * Given an integer array nums, return the greatest common divisor of the smallest number and largest number in nums. |
| 5 | + * The greatest common divisor of two numbers is the largest positive integer that evenly divides both numbers. |
| 6 | + * |
| 7 | + * Example 1: |
| 8 | + * |
| 9 | + * Input: nums = [2,5,6,9,10] |
| 10 | + * Output: 2 |
| 11 | + * Explanation: |
| 12 | + * The smallest number in nums is 2. |
| 13 | + * The largest number in nums is 10. |
| 14 | + * The greatest common divisor of 2 and 10 is 2. |
| 15 | + * |
| 16 | + * Example 2: |
| 17 | + * |
| 18 | + * Input: nums = [7,5,6,8,3] |
| 19 | + * Output: 1 |
| 20 | + * Explanation: |
| 21 | + * The smallest number in nums is 3. |
| 22 | + * The largest number in nums is 8. |
| 23 | + * The greatest common divisor of 3 and 8 is 1. |
| 24 | + * |
| 25 | + * Example 3: |
| 26 | + * |
| 27 | + * Input: nums = [3,3] |
| 28 | + * Output: 3 |
| 29 | + * Explanation: |
| 30 | + * The smallest number in nums is 3. |
| 31 | + * The largest number in nums is 3. |
| 32 | + * The greatest common divisor of 3 and 3 is 3. |
| 33 | + * |
| 34 | + * |
| 35 | + * Constraints: |
| 36 | + * |
| 37 | + * 2 <= nums.length <= 1000 |
| 38 | + * 1 <= nums[i] <= 1000 |
| 39 | + * |
| 40 | + */ |
| 41 | +pub struct Solution {} |
| 42 | + |
| 43 | +// problem: https://leetcode.com/problems/find-greatest-common-divisor-of-array/ |
| 44 | +// discuss: https://leetcode.com/problems/find-greatest-common-divisor-of-array/discuss/?currentPage=1&orderBy=most_votes&query= |
| 45 | + |
| 46 | +// submission codes start here |
| 47 | + |
| 48 | +impl Solution { |
| 49 | + pub fn find_gcd(nums: Vec<i32>) -> i32 { |
| 50 | + let (mn, ma) = nums.iter().fold((1000, 1), |(mn, ma), &y| { |
| 51 | + if (y > ma) { |
| 52 | + if (y < mn) { |
| 53 | + (y, y) |
| 54 | + } else { |
| 55 | + (mn, y) |
| 56 | + } |
| 57 | + } else if (y < mn) { |
| 58 | + (y, ma) |
| 59 | + } else { |
| 60 | + (mn, ma) |
| 61 | + } |
| 62 | + }); |
| 63 | + |
| 64 | + (1..=mn).fold(1, |x, y| if (mn % y == 0) && (ma % y) == 0 { y } else { x }) |
| 65 | + } |
| 66 | +} |
| 67 | + |
| 68 | +// submission codes end |
| 69 | + |
| 70 | +#[cfg(test)] |
| 71 | +mod tests { |
| 72 | + use super::*; |
| 73 | + |
| 74 | + #[test] |
| 75 | + fn test_1979_example_1() { |
| 76 | + let nums = vec![2, 5, 6, 9, 10]; |
| 77 | + |
| 78 | + let result = 2; |
| 79 | + |
| 80 | + assert_eq!(Solution::find_gcd(nums), result); |
| 81 | + } |
| 82 | + |
| 83 | + #[test] |
| 84 | + fn test_1979_example_2() { |
| 85 | + let nums = vec![7, 5, 6, 8, 3]; |
| 86 | + |
| 87 | + let result = 1; |
| 88 | + |
| 89 | + assert_eq!(Solution::find_gcd(nums), result); |
| 90 | + } |
| 91 | + |
| 92 | + #[test] |
| 93 | + fn test_1979_example_3() { |
| 94 | + let nums = vec![3, 3]; |
| 95 | + |
| 96 | + let result = 3; |
| 97 | + |
| 98 | + assert_eq!(Solution::find_gcd(nums), result); |
| 99 | + } |
| 100 | +} |
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