题目描述
Hanks 博士是 BT (Bio−Tech，生物技术) 领域的知名专家。现在，他正在为一个细胞实验做准备工作：培养细胞样本。
Hanks 博士手里现在有 N种细胞，编号从 1−N，一个第 i种细胞经过 1 秒钟可以分裂为Si个同种细胞（Si为正整数）。现在他需要选取某种细胞的一个放进培养皿，让其自由分裂，进行培养。一段时间以后，再把培养皿中的所有细胞平均分入M个试管，形成M份样本，用于实验。Hanks 博士的试管数M很大，普通的计算机的基本数据类型无法存储这样大的M值，但万幸的是，M 总可以表示为m1的m2次方，即M=
注意，整个实验过程中不允许分割单个细胞，比如某个时刻若培养皿中有 4个细胞，
Hanks博士可以把它们分入 2个试管，每试管内2 个，然后开始实验。但如果培养皿中有5个细胞，博士就无法将它们均分入2 个试管。此时，博士就只能等待一段时间，让细胞们继续分裂，使得其个数可以均分，或是干脆改换另一种细胞培养。
为了能让实验尽早开始，Hanks博士在选定一种细胞开始培养后，总是在得到的细胞“刚好可以平均分入 M个试管”时停止细胞培养并开始实验。现在博士希望知道，选择哪种细胞培养，可以使得实验的开始时间最早。
输入格式
第一行,有一个正整数 N，代表细胞种数。
第二行,有两个正整数 m1,m2，以一个空格隔开，即表示试管的总数 M=
第三行有 N 个正整数，第 i 个数 Si表示第 i 种细胞经过 1 秒钟可以分裂成同种细胞的个数。
输出格式
一个整数，表示从开始培养细胞到实验能够开始所经过的最少时间（单位为秒）。
如果无论Hanks博士选择哪种细胞都不能满足要求，则输出整数−1。
输入输出样例
输入 #1
1 2 1 3
输出 #1
-1
输入 #2
2 24 1 30 12
输出 #2
2
说明/提示
【输入输出说明】
经过 1秒钟，细胞分裂成3 个，经过2秒钟，细胞分裂成9个，……，可以看出无论怎么分裂，细胞的个数都是奇数，因此永远不能分入 2个试管。
【输入输出样例22说明】
第 1 种细胞最早在3 秒后才能均分入24 个试管，而第2 种最早在2 秒后就可以均分（每试管144/(241)=6 个）。故实验最早可以在2 秒后开始。
【数据范围】
对于 50%的数据，有
对于所有的数据，有1≤N≤10000,1≤m1≤30000,1≤m2≤10000,1≤Si≤2,000,000,000。
// --------------------
#include<iostream> // |-头文件头文件头文件-|
#include<cstdio>// |-头文件头文件头文件-|
#include<algorithm>// |-头文件头文件头文件-|
#include<cmath>// |-头文件头文件头文件-|
#include<cstring>// |-头文件头文件头文件-|
// --------------------
using namespace std;
long long num=3245,mp[10000]=//打表，30000以内质数（9~3257行），
{
0,
2,
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5,
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11,
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29,
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2803,
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10487,
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10867,
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27793,
27799,
27803,
27809,
27817,
27823,
27827,
27847,
27851,
27883,
27893,
27901,
27917,
27919,
27941,
27943,
27947,
27953,
27961,
27967,
27983,
27997,
28001,
28019,
28027,
28031,
28051,
28057,
28069,
28081,
28087,
28097,
28099,
28109,
28111,
28123,
28151,
28163,
28181,
28183,
28201,
28211,
28219,
28229,
28277,
28279,
28283,
28289,
28297,
28307,
28309,
28319,
28349,
28351,
28387,
28393,
28403,
28409,
28411,
28429,
28433,
28439,
28447,
28463,
28477,
28493,
28499,
28513,
28517,
28537,
28541,
28547,
28549,
28559,
28571,
28573,
28579,
28591,
28597,
28603,
28607,
28619,
28621,
28627,
28631,
28643,
28649,
28657,
28661,
28663,
28669,
28687,
28697,
28703,
28711,
28723,
28729,
28751,
28753,
28759,
28771,
28789,
28793,
28807,
28813,
28817,
28837,
28843,
28859,
28867,
28871,
28879,
28901,
28909,
28921,
28927,
28933,
28949,
28961,
28979,
29009,
29017,
29021,
29023,
29027,
29033,
29059,
29063,
29077,
29101,
29123,
29129,
29131,
29137,
29147,
29153,
29167,
29173,
29179,
29191,
29201,
29207,
29209,
29221,
29231,
29243,
29251,
29269,
29287,
29297,
29303,
29311,
29327,
29333,
29339,
29347,
29363,
29383,
29387,
29389,
29399,
29401,
29411,
29423,
29429,
29437,
29443,
29453,
29473,
29483,
29501,
29527,
29531,
29537,
29567,
29569,
29573,
29581,
29587,
29599,
29611,
29629,
29633,
29641,
29663,
29669,
29671,
29683,
29717,
29723,
29741,
29753,
29759,
29761,
29789,
29803,
29819,
29833,
29837,
29851,
29863,
29867,
29873,
29879,
29881,
29917,
29921,
29927,
29947,
29959,
29983,
29989
};
long long m1z[10000];//统计试管的总数分解质因数的个数
long long az[10000];//统计第i种细胞经过1秒钟可以分裂成同种细胞的个数分解质因数的个数
long long f(long long n)
{
for (int i=1;i<=num;i++)初始化
{
az[i]=0;
}
for (int i=1;i<=num;i++)//分解质因数
{
while (n%mp[i]==0)//如果可以被30000以内质数整除
{
n/=mp[i];//除
az[i]++;//统计个数
}
}
long long mx=0;
for (int i=1;i<=num;i++)
{
if (az[i]==0&&m1z[i]!=0)//如果分裂个数的质因数和试管的总数的质因数不同
{
return 20000000005;//返回max
}
else
{
if (m1z[i]!=0)
{
mx=max(mx,m1z[i]/az[i]+bool(m1z[i]%az[i]));
}
}
}
return mx;
}
int main()//先看主函数
{
int n,m1,m2;//三个数，代表细胞种数，试管的总数
cin>>n>>m1>>m2;//输入代表细胞种数，试管的总数
for (int i=1;i<=num;i++)//分解质因数
{
while (m1%mp[i]==0)//如果可以被30000以内质数整除
{
m1/=mp[i];//除
m1z[i]+=m2;//统计个数
}
}
int a[n+1];//第i个数Ai表示第i种细胞经过1秒钟可以分裂成同种细胞的个数
for (int i=1;i<=n;i++)
{
cin>>a[i];//输入第i种细胞经过1秒钟可以分裂成同种细胞的个数
}
long long min1=20000000005; //最小值
for (int i=1;i<=n;i++)//好，到这⏹，看f函数上箭头⬆⬆⬆⬆⬆⬆⬆⬆⬆
{
min1=min(min1,f(a[i]));
}
if (min1==20000000005)
cout<<-1<<endl;
else
cout<<min1<<endl;
return 0;
}
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