Medium
Given a string expression
representing an expression of fraction addition and subtraction, return the calculation result in string format.
The final result should be an irreducible fraction. If your final result is an integer, change it to the format of a fraction that has a denominator 1
. So in this case, 2
should be converted to 2/1
.
Example 1:
Input: expression = “-1/2+1/2”
Output: “0/1”
Example 2:
Input: expression = “-1/2+1/2+1/3”
Output: “1/3”
Example 3:
Input: expression = “1/3-1/2”
Output: “-1/6”
Constraints:
'0'
to '9'
, '/'
, '+'
and '-'
. So does the output.±numerator/denominator
. If the first input fraction or the output is positive, then '+'
will be omitted.[1, 10]
. If the denominator is 1
, it means this fraction is actually an integer in a fraction format defined above.[1, 10]
.class Solution {
private fun gcd(a: Int, b: Int): Int {
return if (a % b == 0) b else gcd(b, a % b)
}
private fun format(a: Int, b: Int): String {
val gcd = Math.abs(gcd(a, b))
return (a / gcd).toString() + "/" + b / gcd
}
private fun parse(s: String): IntArray {
val idx = s.indexOf("/")
return intArrayOf(s.substring(0, idx).toInt(), s.substring(idx + 1).toInt())
}
fun fractionAddition(expression: String): String {
var rst = intArrayOf(0, 1)
val list: MutableList<IntArray> = ArrayList()
var sb = StringBuilder().append(expression[0])
for (i in 1 until expression.length) {
val c = expression[i]
if (c == '+' || c == '-') {
list.add(parse(sb.toString()))
sb = StringBuilder().append(c)
} else {
sb.append(c)
}
}
list.add(parse(sb.toString()))
for (num in list) {
rst = intArrayOf(rst[0] * num[1] + rst[1] * num[0], rst[1] * num[1])
}
return format(rst[0], rst[1])
}
}