UVA - 10050 Hartals

A social research organization has determined a simple set of parameters to simulate the behavior of the political parties of our country. One of the parameters is a positive integerh (called thehartal parameter) that denotes the average number of days between two successivehartals (strikes) called by the corresponding party. Though the parameter is far too simple to be flawless, it can still be used to forecast the damages caused byhartals. The following example will give you a clear idea:

Consider three political parties. Assume h₁ = 3, h₂ = 4 andh₃ = 8 whereh_i is the hartal parameter for partyi (i = 1, 2, 3). Now, we will simulate the behavior of these three parties forN = 14 days. One must always start the simulation on a Sunday and assume that there will be nohartals on weekly holidays (on Fridays and Saturdays).

 1234567891011121314Days               SuMoTuWeThFrSaSuMoTuWeThFrSaParty 1  x  x  x  x  Party 2   x   x   x  Party 3       x      Hartals  12   34  5  

The simulation above shows that there will be exactly 5 hartals (on days 3, 4, 8, 9 and 12) in 14 days. There will be nohartal on day 6 since it is a Friday. Hence we lose 5 working days in 2 weeks.

In this problem, given the hartal parameters for several political parties and the value ofN, your job is to determine the number of working days we lose in thoseN days.

Input 

The first line of the input consists of a single integer T giving the number of test cases to follow.

The first line of each test case contains an integer N ( ) giving the number of days over which the simulation must be run. The next line contains another integer P ( ) representing the number of political parties in this case. The i�th of the next P lines contains a positive integerh_i (which will never be a multiple of 7) giving thehartal parameter for party i ( ).

Output 

For each test case in the input output the number of working days we lose. Each output must be on a separate line.

Sample Input 

2143348100412152540

Sample Output 

515

题意:

给出天数，以及党的个数，还有罢工的周期，求出最后罢工的天数，星期五以及星期六不算在内；

<pre name="code" class="cpp">#include<cstdio>#include<cstring>#include<iostream>using namespace std;int main(){int n;int d;int p;int a[4000];int b[4000];cin >> n;while(n --){cin >> d;cin >> p;memset(b,0,sizeof(b));for(int i = 1; i <= p; i ++){cin >> a[i];for(int j = a[i]; j <= d; j += a[i])b[j] = 1;}int day= 0;for(int k = 1; k <= d; k++){if(b[k] && (k +7) % 7 - 1 != 5 && (k +7) %7 + 7- 1 != 6)day ++ ;}printf("%d\n",day);}return 0;}