134 lines
3.3 KiB
C++
134 lines
3.3 KiB
C++
#include <iostream>
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#include <algorithm>
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#include <cstring>
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#include <string>
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#include <cstdio>
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#include <cmath>
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#include <queue>
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#include <map>
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#include <set>
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#define MAXN 100005
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#define MAXM 400005
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#define INF 1000000011
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#define lch(x) x<<1
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#define rch(x) x<<1|1
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#define lson l,m,rt<<1
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#define rson m+1,r,rt<<1|1
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#define eps 1e-7
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using namespace std;
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bool tag[10001];
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int p[10001];
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int cnt;
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void get_prime()
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{
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cnt = 0;
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tag[1] = 1;
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for (int i = 2; i < 10000; i++)
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{
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if (!tag[i])
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p[cnt++] = i;
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for (int j = 0; j < cnt && p[j] * i < 10000; 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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int n, m;
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int a[11005], b[11005];
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int numa[10005], numb[10005];
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int ans[1000005];
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int num[1001111];
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void get(int *x, int n, int *num)
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{
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for(int i = 1; i <= n; i++)
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{
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for(int j = 0; j < cnt; j++)
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{
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int tn = x[i];
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if(tn < p[j]) break;
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while(tn){num[j] += tn / p[j]; tn /= p[j];}
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}
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}
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}
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bool ok()
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{
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for(int i = 0; i < cnt; i++)
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if(numb[i] > numa[i]) return 0;
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return 1;
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}
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int main()
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{
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int T;
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get_prime();
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scanf("%d", &T);
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while(T--)
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{
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scanf("%d%d", &n, &m);
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for(int i = 1; i <= n; i++) scanf("%d", &a[i]);
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for(int i = 1; i <= m; i++) scanf("%d", &b[i]);
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memset(numa, 0, sizeof(numa));
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memset(numb, 0, sizeof(numb));
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get(a, n, numa);
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get(b, m, numb);
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if(!ok())
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{
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printf("-1\n");
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continue;
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}
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for(int i = 0; i < cnt; i++) numa[i] -= numb[i];
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int tp = 0;
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memset(num, 0, sizeof(num));
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while(1)
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{
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int low = 2, high = 10006;
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int can = 0;
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while(low <= high)
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{
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int mid = (low + high) >> 1;
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int fg = 1;
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for(int j = 0; j < cnt; j++)
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{
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int tn = mid;
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if(tn < p[j]) break;
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int sum = 0;
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while(tn){sum += tn / p[j]; tn /= p[j];}
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if(sum > numa[j])
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{
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fg = 0;
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break;
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}
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}
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if(fg) {low = mid + 1; can = max(can, mid);}
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else high = mid - 1;
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}
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int x = can;
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if(x == 0) break;
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ans[tp] = x;
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int ot = INF;
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for(int j = 0; j < cnt; j++)
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{
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int tn = x;
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if(tn < p[j]) break;
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int sum = 0;
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while(tn){sum += tn / p[j]; tn /= p[j];}
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if(sum > 0) ot = min(ot, numa[j] / sum);
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}
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num[tp] += ot;
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tp++;
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for(int j = 0; j < cnt; j++)
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{
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int tn = x;
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if(tn < p[j]) break;
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int sum = 0;
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while(tn){sum += tn / p[j]; tn /= p[j];}
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numa[j] -= ot * sum;
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}
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}
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printf("%d\n", tp);
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for(int i =0; i < tp; i++) printf("%d %d\n", ans[i], num[i]);
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}
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return 0;
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}
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