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| package main
import "fmt"
func main() {
for {
var a, b int
_, err := fmt.Scanf("%d/%d", &a, &b)
if err != nil {
return
}
var x = gcd(a, b)
a /= x
b /= x
var try bool
var result []int
for {
if b % a == 0 && try {
result = append(result, b / a)
break
}
var p = b/a + 1
result = append(result, p)
a = a * p - b
b *= p
try = true
}
for i, v := range result {
fmt.Printf("1/%d", v)
if i < len(result) - 1 {
fmt.Print("+")
} else {
fmt.Print("\n")
}
}
}
}
func gcd(a, b int) int {
if a == 1 || b == 1 {
return 1
}
var min int
if a >= b {
min = b
} else {
min = a
}
var result = 1
for i := 2; i <= min; i++ {
if a % i == 0 && b % i == 0 {
a /= i
b /= i
min /= i
result *= i
}
}
return result
}
|
