|
| 1 | +/** |
| 2 | + * [43] 字符串相乘 |
| 3 | + * |
| 4 | + * 给定两个以字符串形式表示的非负整数 num1 和 num2,返回 num1 和 num2 的乘积,它们的乘积也表示为字符串形式。 |
| 5 | + * 注意:不能使用任何内置的 BigInteger 库或直接将输入转换为整数。 |
| 6 | + * |
| 7 | + * 示例 1: |
| 8 | + * |
| 9 | + * 输入: num1 = "2", num2 = "3" |
| 10 | + * 输出: "6" |
| 11 | + * 示例 2: |
| 12 | + * |
| 13 | + * 输入: num1 = "123", num2 = "456" |
| 14 | + * 输出: "56088" |
| 15 | + * |
| 16 | + * 提示: |
| 17 | + * |
| 18 | + * 1 <= num1.length, num2.length <= 200 |
| 19 | + * num1 和 num2 只能由数字组成。 |
| 20 | + * num1 和 num2 都不包含任何前导零,除了数字0本身。 |
| 21 | + * |
| 22 | + */ |
| 23 | +pub struct Solution {} |
| 24 | + |
| 25 | +// problem: https://leetcode.cn/problems/multiply-strings/ |
| 26 | +// discuss: https://leetcode.cn/problems/multiply-strings/discuss/?currentPage=1&orderBy=most_votes&query= |
| 27 | + |
| 28 | +// submission codes start here |
| 29 | + |
| 30 | +use std::char; |
| 31 | + |
| 32 | +impl Solution { |
| 33 | + |
| 34 | + fn assign_digit(res: &mut Vec<u32>, k: usize, v: u32) { |
| 35 | + if k >= res.len() { |
| 36 | + res.push(v); |
| 37 | + } else { |
| 38 | + res[k] += v; |
| 39 | + } |
| 40 | + let mut k = k; |
| 41 | + while res[k] > 10 { |
| 42 | + if k == res.len() - 1 { |
| 43 | + res.push(res[k]/10); |
| 44 | + res[k] %= 10; |
| 45 | + break; |
| 46 | + } else { |
| 47 | + res[k+1] += res[k] / 10; |
| 48 | + res[k] %= 10; |
| 49 | + } |
| 50 | + k += 1; |
| 51 | + } |
| 52 | + } |
| 53 | + |
| 54 | + pub fn multiply(num1: String, num2: String) -> String { |
| 55 | + if num1 == "0" || num2 == "0" { |
| 56 | + return "0".to_string(); |
| 57 | + } |
| 58 | + let mut res = vec![]; |
| 59 | + |
| 60 | + let mut digits1 = vec![]; |
| 61 | + for c in num1.chars().rev() { |
| 62 | + digits1.push(c.to_digit(10).unwrap()); |
| 63 | + } |
| 64 | + |
| 65 | + for (i, c) in num2.chars().rev().enumerate() { |
| 66 | + let d2 = c.to_digit(10).unwrap(); |
| 67 | + for (j, d1) in digits1.iter().enumerate() { |
| 68 | + Self::assign_digit(&mut res, i + j, d1 * d2); |
| 69 | + } |
| 70 | + } |
| 71 | + let mut s = "".to_string(); |
| 72 | + for d in res.iter().rev() { |
| 73 | + s.push(char::from_digit(*d, 10).unwrap()); |
| 74 | + } |
| 75 | + s |
| 76 | + } |
| 77 | +} |
| 78 | + |
| 79 | +// submission codes end |
| 80 | + |
| 81 | +#[cfg(test)] |
| 82 | +mod tests { |
| 83 | + use super::*; |
| 84 | + |
| 85 | + #[test] |
| 86 | + fn test_43() { |
| 87 | + assert_eq!(Solution::multiply("123".to_string(), "23".to_string()), "2829".to_string()); |
| 88 | + assert_eq!(Solution::multiply("982634".to_string(), "2343".to_string()), "2302311462".to_string()); |
| 89 | + } |
| 90 | +} |
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