121 lines
2.8 KiB
C++
121 lines
2.8 KiB
C++
#include <iostream>
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#include <vector>
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#include <list>
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#include <map>
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#include <algorithm>
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#include <iomanip>
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#include <cstdio>
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#include <cmath>
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#include <cstdlib>
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#include <cstring>
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#include <cmath>
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#define MAXN 205
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#define INF 100000000
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#define eps 1e-9
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#define L(x) x<<1
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#define R(x) x<<1|1
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using namespace std;
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bool tag[101];
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__int64 p[101];
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int cnt = 0;
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void get_prime()
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{
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cnt = 0;
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for (__int64 i = 2; i < 101; i++)
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{
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if (!tag[i])
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p[cnt++] = i;
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for (__int64 j = 0; j < cnt && p[j] * i < 101; j++)
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{
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tag[i*p[j]] = 1;
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if (i % p[j] == 0)
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break;
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}
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}
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}
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__int64 a[105];
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__int64 b[105];
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__int64 num[105];
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__int64 tmp[105];
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int main()
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{
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__int64 sum = 0;
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__int64 i, j;
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int t, n;
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scanf("%d", &t);
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get_prime();
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while(t--)
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{
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memset(num, 0, sizeof(num));
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__int64 high = 96000000099999999LL;
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__int64 low = 0LL;
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scanf("%d", &n);
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for(i = 0; i < n; i++)
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{
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scanf("%I64d%I64d", &a[i], &b[i]);
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for(j = 0; j < cnt && p[j] * p[j] <= a[i]; j++)
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{
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__int64 ct = 0;
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if(a[i] % p[j] == 0)
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{
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while(a[i] % p[j] == 0)
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{
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ct++;
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a[i] /= p[j];
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}
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}
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num[p[j]] += ct * b[i];
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}
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if(a[i] > 1)
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{
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num[a[i]] += b[i];
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}
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}
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__int64 ans = 0;
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while(low <= high)
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{
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__int64 mid = (low + high) / 2;
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memset(tmp, 0, sizeof(tmp));
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for(i = 0; i < cnt && p[i] < 100; i++)
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{
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for(j = p[i]; j <= mid; j *= p[i])
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{
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tmp[p[i]] += mid / j;
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}
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}
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int big = 0;
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for(i = 0; p[i] < 100; i++)
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{
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if(num[p[i]] == 0) continue;
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if(num[p[i]] > tmp[p[i]])
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{
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big = -1;
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break;
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}
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}
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int cn = 0;
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for(i = 0; p[i] < 100; i++)
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if(num[p[i]] > 0) cn++;
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int nc = 0;
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for(i = 0; p[i] < 100; i++)
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{
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if(num[p[i]] == 0) continue;
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if(tmp[p[i]] >= num[p[i]]) nc++;
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}
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if(nc == cn) big = 1;
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if(big == 0)
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break;
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else if(big == -1)
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{
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low = mid + 1;
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}
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else if(big == 1)
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{
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high = mid - 1;
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}
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}
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printf("%I64d\n", low);
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}
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return 0;
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}
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