spflmm 发表于 2023-3-8 18:52:12

课后作业求阶梯数的问题

steps = 7
i = 1
FIND = False

while i < 100:
    if (steps % 7 == 0) and (steps % 6 == 5) and (steps % 5 == 4) and(steps % 3 == 2) and (steps % 2 == 1) :
      FIND = True
      break
      
    i = i + 1

if FIND == True:
    print('阶梯数是:', steps)
else:
    print('在程序限定的范围内找不到答案!')

为什么把steps能被7整除写成(steps % 7 == 0) 并且写到 if 里面不行,要写成下面这样才行?
为什么把steps能被7整除写成(steps % 7 == 0) 并且写到 if 里面不行,要写成下面这样才行?

steps = 7
i = 1
FIND = False

while i < 100:
    if (steps % 2 == 1) and (steps % 3 == 2) and (steps % 5 == 4) and (steps % 6 == 5):
      FIND = True
      break
    else:
      steps = 7 * (i + 1)
    i = i + 1

if FIND == True:
    print('阶梯数是:', steps)
else:
    print('在程序限定的范围内找不到答案!')

chinajz 发表于 2023-3-8 19:13:21

本帖最后由 chinajz 于 2023-3-8 19:26 编辑

修改一下,也是可以的:
steps = 7
i = 1
FIND = False

while i < 100:
    steps = i*7
    if (steps % 7 == 0) and (steps % 6 == 5) and (steps % 5 == 4) and(steps % 3 == 2) and (steps % 2 == 1) :
      FIND = True
      break
      
    i = i + 1

if FIND == True:
    print('阶梯数是:', steps)
else:
    print('在程序限定的范围内找不到答案!')
或者:
#steps = 7
i = 1
FIND = False

while i < 120:
    if (i % 7 == 0) and (i % 6 == 5) and (i % 5 == 4) and(i % 3 == 2) and (i % 2 == 1) :
      FIND = True
      break
      
    i = i + 1

if FIND == True:
    print('阶梯数是:',i)
else:
    print('在程序限定的范围内找不到答案!')

chinajz 发表于 2023-3-8 19:17:35

本帖最后由 chinajz 于 2023-3-8 19:20 编辑

理解完全是对的,只是7的倍数效率似乎更好些。
#steps = 7
i = 7
FIND = False

while i < 120:
    if (i % 7 == 0) and (i % 6 == 5) and (i % 5 == 4) and(i % 3 == 2) and (i % 2 == 1) :
      FIND = True
      break
      
    i = i + 7

if FIND == True:
    print('阶梯数是:',i)
else:
    print('在程序限定的范围内找不到答案!')

shigure_takimi 发表于 2023-3-10 10:40:28

def stepNumbers(a,b):
    stepNumbers = []
    if a > b:
      a, b = b, a
    k = a//7
    for i in range(k*7, b, 7):
      if i%2 == 1 and i%3 == 2 and i%4 == 3 and i%5 == 4 and i%6 == 5:
            stepNumbers.append(i)
    if stepNumbers == []:
      print(f'[{a},{b}]之间没有阶梯数。')
    else:
      print(f'[{a},{b}]之间的阶梯数有{stepNumbers}')
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