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| 1 | +package main |
| 2 | + |
| 3 | +import "strconv" |
| 4 | + |
| 5 | +// 166 https://leetcode-cn.com/problems/fraction-to-recurring-decimal/ |
| 6 | +// 除法模拟 |
| 7 | +func fractionToDecimal(numerator int, denominator int) string { |
| 8 | + result := "" |
| 9 | + flag := "" // 符号位 |
| 10 | + // 将符号位和数字分离开 |
| 11 | + if denominator == 0 { |
| 12 | + return "" |
| 13 | + } |
| 14 | + if numerator == 0 { |
| 15 | + return "0" |
| 16 | + } |
| 17 | + if numerator*denominator > 0 { |
| 18 | + flag = "" |
| 19 | + if numerator < 0 { |
| 20 | + numerator = numerator * (-1) |
| 21 | + denominator = denominator * (-1) |
| 22 | + } |
| 23 | + } else { |
| 24 | + if numerator > 0 { |
| 25 | + flag = "-" |
| 26 | + denominator = denominator * (-1) |
| 27 | + } else { |
| 28 | + flag = "-" |
| 29 | + numerator = numerator * (-1) |
| 30 | + } |
| 31 | + } |
| 32 | + if (numerator % denominator) == 0 { |
| 33 | + return flag + strconv.Itoa(numerator/denominator) |
| 34 | + } else { |
| 35 | + // 定义整数和小数 |
| 36 | + integer := 0 |
| 37 | + // 若是被除数 > 除数,则算出商的整数部分 |
| 38 | + for i := 1; numerator > i*denominator; i++ { |
| 39 | + integer++ |
| 40 | + } |
| 41 | + result += strconv.Itoa(integer) |
| 42 | + result += "." |
| 43 | + numerator -= integer * denominator |
| 44 | + // 现在,被除数小于除数了,商的整数部分也算出来了,该算小数部分了 |
| 45 | + hashMap := make(map[int]int) // 用于记录余数出现的位置,key是数字,value是其在quotient数组里的index |
| 46 | + var quotient []int // 用于记录每次出现的小数部分商 |
| 47 | + j := 0 |
| 48 | + for numerator%denominator != 0 { |
| 49 | + if numerator < denominator { |
| 50 | + numerator *= 10 |
| 51 | + } |
| 52 | + quotientRes := numerator / denominator |
| 53 | + numerator %= denominator |
| 54 | + if _, ok := hashMap[numerator]; !ok { |
| 55 | + // 表明没有循环,保存商和余数 |
| 56 | + quotient = append(quotient, quotientRes) |
| 57 | + hashMap[numerator] = j |
| 58 | + j++ |
| 59 | + } else { |
| 60 | + // 表明有循环 |
| 61 | + if quotient[hashMap[numerator]] == quotientRes { |
| 62 | + for k := 0; k < hashMap[numerator] && k < len(quotient); k++ { |
| 63 | + result += strconv.Itoa(quotient[k]) |
| 64 | + } |
| 65 | + result += "(" |
| 66 | + for k := hashMap[numerator]; k < len(quotient); k++ { |
| 67 | + result += strconv.Itoa(quotient[k]) |
| 68 | + } |
| 69 | + result += ")" |
| 70 | + } else { |
| 71 | + // 下面这段代码用于防止1/6这种情况的出现,即:余数重复出现,不一定代表就此循环 |
| 72 | + for k := 0; k <= hashMap[numerator] && k < len(quotient); k++ { |
| 73 | + result += strconv.Itoa(quotient[k]) |
| 74 | + } |
| 75 | + result += "(" |
| 76 | + for k := hashMap[numerator] + 1; k < len(quotient); k++ { |
| 77 | + result += strconv.Itoa(quotient[k]) |
| 78 | + } |
| 79 | + result += strconv.Itoa(quotientRes) |
| 80 | + result += ")" |
| 81 | + } |
| 82 | + break |
| 83 | + } |
| 84 | + // 表明除尽了 |
| 85 | + if numerator == 0 { |
| 86 | + for _, item := range quotient { |
| 87 | + result += strconv.Itoa(item) |
| 88 | + } |
| 89 | + break |
| 90 | + } |
| 91 | + } |
| 92 | + } |
| 93 | + result = flag + result |
| 94 | + return result |
| 95 | +} |
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