求一组序列的最大公约数
def gys(a):
res_a=[]
for i in range(1,a+1):
if a%i==0:
res_a.append(i)
return res_a
def maxgys(a,b):
res_a=gys(a)
res_b=gys(b)
res=1
for i in res_a:
if i in res_b:
res=max(res,i)
return res
def findmax(newlist):
if len(newlist)==2:
return maxgys(newlist[0],newlist[1])
a=newlist[0]
b=newlist[1]
return findmax([maxgys(a,b)]+newlist[2:])
给定一个二维数组,输出二维数组的最大上升序列
Input
[
[9,9,4],
[8,6,9],
[2,1,1]
]
Output:
4 note:[1,2,8,9]
def tj(newlist):
hang=len(newlist)
lie=len(newlist[0])
res={}
for i in range(hang):
for j in range(lie):
if newlist[i][j] not in res:
res[newlist[i][j]]=[[i,j]]
else:
res[newlist[i][j]].append([i,j])
return res
def maxzxl(newlist):
tongji=tj(newlist)
values=sorted(list(tongji.keys()))
hang=len(newlist)
lie=len(newlist[0])
mod_newlist=[[-10e9]*(lie+2)]+[[-10e9]+i+[-10e9] for i in newlist]+[[-10e9]*(lie+2)]
res=[[0 for i in range(lie+2)] for j in range(hang+2)]
while len(values)>0:
value=values.pop()
valuelist=tongji[value]
for ind in valuelist:
i=ind[0]
j=ind[1]
maxsize=0
if mod_newlist[i][j+1]>mod_newlist[i+1][j+1]:
maxsize=max(maxsize,res[i][j+1])
if mod_newlist[i+2][j+1]>mod_newlist[i+1][j+1]:
maxsize=max(maxsize,res[i+2][j+1])
if mod_newlist[i+1][j]>mod_newlist[i+1][j+1]:
maxsize=max(maxsize,res[i+1][j])
if mod_newlist[i+1][j+2]>mod_newlist[i+1][j+1]:
maxsize=max(maxsize,res[i+1][j+2])
res[i+1][j+1]=maxsize+1
return max(tj(res).keys())
输入一个整数数列,6个元素,问能够组成的最大时间,如果不能组成输入invalid
def findk(sortnewlist,k):
for i in range(len(sortnewlist)-1):
if sortnewlist[i]<=k and sortnewlist[i+1]>k:
return i
if sortnewlist[-1]<=k:
return len(sortnewlist)-1
else:
return None
def maxtime(newlist):
newlist.sort()
if newlist[0]>2:
return 'invalid'
hour_shi_index=findk(newlist,2)
if hour_shi_index is None:
return 'invalid'
hour_shi=newlist[hour_shi_index]
newlist = newlist[:hour_shi_index] + newlist[hour_shi_index+1:]
if hour_shi==2:
hour_ge_index=findk(newlist,3)
if hour_ge_index is None:
return 'invalid'
hour_ge=newlist[hour_ge_index]
res=str(hour_shi)+str(hour_ge)+':'
newlist=newlist[:hour_ge_index]+newlist[hour_ge_index+1:]
else:
res=str(hour_shi)+str(newlist[-1])+':'
newlist=newlist[:-1]
minute_shi_index=findk(newlist,5)
if minute_shi_index is None:
return 'invalid'
minute_shi=newlist[minute_shi_index]
newlist=newlist[:minute_shi_index]+newlist[minute_shi_index+1:]
res=res+str(minute_shi)+str(newlist[-1])+':'
newlist=newlist[:-1]
minute_shi_index = findk(newlist, 5)
if minute_shi_index is None:
return 'invalid'
minute_shi = newlist[minute_shi_index]
newlist = newlist[:minute_shi_index] + newlist[minute_shi_index + 1:]
res = res + str(minute_shi) + str(newlist[-1])
newlist = newlist[:-1]
if len(newlist)!=0:
return 'invalid'
return res
小明手里有点闲钱,做点卖水果的小买卖,m代表水果的成本价,n代表卖出价,本钱k元,最后最多能赚多少钱?
eg:
m = [4, 2, 6, 4]
n = [5, 3, 11, 7]
k=15
先买0,1,2三种水果,然后卖出,最后买最后一个水果,卖出
思路:背包问题,给出最优的策略,然后将m删除这些元素,n删除这些元素,k表示最终的价钱,重新计算最优,一直到两者相等结束
"""
基础的背包问题,输出需要选择的路线策略
"""
def findroad(weight,value,k):
res=[[0 for i in range(k+1)] for j in range(len(weight)+1)]
road=[[[] for i in range(k+1)] for j in range(len(weight)+1)]
for i in range(1,len(weight)+1):
for j in range(1,k+1):
if j>=weight[i-1]:
if res[i-1][j]>=res[i-1][j-weight[i-1]]+value[i-1]:
res[i][j]=res[i-1][j]
road[i][j]=road[i-1][j][:]
else:
res[i][j]=res[i-1][j-weight[i-1]]+value[i-1]
road[i][j]=road[i-1][j-weight[i-1]][:]
road[i][j].append(i-1)
else:
res[i][j]=res[i-1][j]
road[i][j] = road[i - 1][j][:]
return [res[-1][-1],road[-1][-1]]
def delete(newlist,ind_list):
res=[]
for ind,val in enumerate(newlist):
if ind not in ind_list:
res.append(val)
return res
def findmax(weight,value,k):
resk=findroad(weight,value,k)[0]+k
resr=findroad(weight,value,k)[-1]
weight=delete(weight,resr)
value=delete(value,resr)
secondk=findroad(weight,value,resk)[0]+resk
while secondk>resk and len(weight)!=0:
resr = findroad(weight, value, resk)[-1]
resk=secondk
weight=delete(weight,resr)
value=delete(value,resr)
secondk=findroad(weight,value,resk)[0]+resk
return resk
def calctime(m,n,time):
if m>n:
return max(time)
else:
sumtime=0
time.sort()
time.reverse()
process=time[-m:]
time=time[:-m]
while len(time)>0:
need=time.pop()
minut=min(process)
process=[i-minut for i in process]
sumtime+=minut
for i in range(len(process)):
if process[i]==0:
process[i]=need
break
sumtime+=max(process)
return sumtime