题解 | #将真分数分解为埃及分数#
将真分数分解为埃及分数
https://www.nowcoder.com/practice/e0480b2c6aa24bfba0935ffcca3ccb7b
while True:
try:
res = []
numerator, denominator = list(map(int, input().strip().split('/')))
temp_deno = 2
remain_num, remain_deno = numerator, denominator
while remain_num != 0:
if 1 / temp_deno > remain_num / remain_deno:
temp_deno += 1
else:
remain_num = remain_num * temp_deno - remain_deno
remain_deno = temp_deno * remain_deno
res.append(temp_deno)
if remain_num != 0:
temp_deno = remain_deno // remain_num
s = ''
for r in res:
s += f'1/{r}+'
print(s[:len(s)-1])
except:
break