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华东师范大学计算机研究生复试机试练习题.doc

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2009机试
计算和的数位
大写改小写
素数对
求最大公约数和最小公倍数
排序后求位置处的数
*路由器连接
*编译原理
*分开连接
2010机试
ECNU的含义
空瓶换啤酒
统计字符
2010机试热身
粽子买三送一,买五送二
工程流水线问题
2011机试
hello world
Special judge
查询成绩
2011机试热身
贪吃蛇
仰望星空
*编辑距离
2012机试
字母排序
幸运数
十六进制的加法
电话号码簿合并排序
*五子棋
*正则表达式匹配
2013机试
斐波那契数列的素数个数
*将a字符变成b字符最少修改次数
2013机试热身
去重排序
蛇形图案
数学手稿
2009 机试 ........................................................................................................................................... 2 计算和的数位 ............................................................................................................................ 2 大写改小写................................................................................................................................ 3 素数对........................................................................................................................................ 4 求最大公约数和最小公倍数 ....................................................................................................6 排序后求位置处的数................................................................................................................ 7 *路由器连接 .............................................................................................................................. 8 *编译原理 ................................................................................................................................ 10 *分开连接 ................................................................................................................................ 13 2010 机试 ......................................................................................................................................... 17 ECNU 的含义 ............................................................................................................................17 空瓶换啤酒.............................................................................................................................. 18 统计字符 .................................................................................................................................. 20 2010 机试热身 ................................................................................................................................. 21 粽子买三送一,买五送二......................................................................................................21 工程流水线问题...................................................................................................................... 22 2011 机试 ......................................................................................................................................... 24 hello world ................................................................................................................................24 Special judge.............................................................................................................................26 查询成绩 .................................................................................................................................. 28 2011 机试热身 ................................................................................................................................. 30 贪吃蛇...................................................................................................................................... 30 仰望星空 .................................................................................................................................. 34 *编辑距离 ................................................................................................................................ 36 2012 机试 ......................................................................................................................................... 38 字母排序 .................................................................................................................................. 38 幸运数...................................................................................................................................... 39 十六进制的加法...................................................................................................................... 42 电话号码簿合并排序..............................................................................................................42 *五子棋 .................................................................................................................................... 43 *正则表达式匹配 .................................................................................................................... 45 2013 机试 ......................................................................................................................................... 46 斐波那契数列的素数个数......................................................................................................46 *将 a 字符变成 b 字符最少修改次数 ....................................................................................47 2013 机试热身 ................................................................................................................................. 49 去重排序 .................................................................................................................................. 49 蛇形图案 .................................................................................................................................. 51 数学手稿 .................................................................................................................................. 54
2009 机试 计算和的数位 Sum of digit Description Write a program which computes the digit number of sum of two integers a and b. Input The first line of input gives the number of cases, N(1 ≤ N ≤ 100). N test cases follow. Each test case consists of two integers a and b which are separeted by a space in a line. (0<=a,b<=100000000). Output For each test case, print the number of digits of a + b. Sample Input 3 5 7 1 99 1000 999 Sample Output 2 3 4 #include int main() { int n; int a,b; int sum; while(scanf("%d",&n)!=EOF) { while(n--) { int an=0; scanf("%d%d",&a,&b); sum=a+b; while(sum) { an++;
sum/=10; } printf("%d\n",an++); } } return 0; } 大写改小写 Capitalize Description Write a program which replace all the lower-case letters of a given text with the corresponding captital letters. Input A text including lower-case letters, periods, and space. Output Output The converted text. Sample Input welcome to east china normal university. Sample Output WELCOME TO EAST CHINA NORMAL UNIVERSITY. #include #include char str[1000]; int main() { int l; while(gets(str)) { l=strlen(str); int i; for(i=0;i='a'&&str[i]<='z') printf("%c",str[i]-32); else printf("%c",str[i]);
} printf("\n"); } return 0; } 素数对 Primes Pair Description We arrange the numbers between 1 and N (1 <= N <= 10000) in increasing order and decreasing order like this: 1 2 3 4 5 6 7 8 9 . . . N N . . . 9 8 7 6 5 4 3 2 1 Two numbers faced each other form a pair. Your task is to compute the number of pairs P such that both numbers in the pairs are prime. Input The first line of input gives the number of cases, C (1 ≤ C ≤ 100). C test cases follow. Each test case consists of an integer N in one line. Output For each test case, output P . Sample Input 4 1 4 7 51 Sample Output 0 2 2 6 #include #include bool prime[10005]; void init() {
int i; int j; prime[0]=prime[1]=false;//不是素数 prime[2]=true;//是素数 for(i=3;i<=10005;i+=2) { prime[i]=true;//是素数 prime[i+1]=false;//不是素数 除 0 和 2 之外的偶数都不是素数 } for(i=3;i<=10005;i+=2) { if(prime[i]==true)//是素数 { j=i+i; while(j<=10005) { prime[j]=false;//不是素数 j+=i; } } } } int main() { int c; int n; init();//初始化 while(scanf("%d",&c)!=EOF) { while(c--) { scanf("%d",&n); int sum=0; int i; for(i=2;i<=n/2;i++) { if(prime[i]==true&&prime[n+1-i]==true) sum++; } sum*=2; if(n%2==1)//n 为奇数 { if(prime[n/2+1]==true) sum+=1;
} printf("%d\n",sum); } } return 0; } 求最大公约数和最小公倍数 GCD and LCM Description Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b (0 < a, b ≤ 44000). Input The first line of input gives the number of cases, N(1 ≤ N ≤ 100). N test cases follow. Each test case contains two interger a and b separated by a single space in a line. Output For each test case, print GCD and LCM separated by a single space in a line. Sample Input 2 8 6 5000 3000 Sample Output 2 24 1000 15000 #include int getgcd(int a,int b) { int gcd; int t1,t2; t1=a; t2=b; gcd=t1%t2; while(gcd!=0) { t1=t2; t2=gcd; gcd=t1%t2;
} return t2; } int main() { int n; int a,b; while(scanf("%d",&n)!=EOF) { while(n--) { scanf("%d%d",&a,&b); printf("%d %d\n",getgcd(a,b),a*b/(getgcd(a,b))); } } return 0; } 排序后求位置处的数 Sort it… Description There is a database,partychen want you to sort the database’s data in the order from the least up to the greatest element,then do the query: "Which element is i-th by its value?"- with i being a natural number in a range from 1 to N. It should be able to process quickly queries like this. Input The standard input of the problem consists of two parts. At first, a database is written, and then there's a sequence of queries. The format of database is very simple: in the first line there's a number N (1<=N<=100000), in the next N lines there are numbers of the database one in each line in an arbitrary order. A sequence of queries is written simply as well: in the first line of the sequence a number of queries K (1 <= K <= 100) is written, and in the next K lines there are queries one in each line. The query "Which element is i-th by its value?" is coded by the number i. Output The output should consist of K lines. In each line there should be an answer to the corresponding query. The answer to the query "i" is an element from the database, which is i-th by its value (in the order from the least up to the greatest element). Sample Input 5
7 121 123 7 121 3 3 2 5 Sample Output 121 7 123 #include #include using namespace std; int num[100010]; int pos[105]; int main() { int n; int i; int k; while(scanf("%d",&n)!=EOF) { for(i=1;i<=n;i++) scanf("%d",&num[i]); scanf("%d",&k); for(i=1;i<=k;i++) scanf("%d",&pos[i]); sort(num+1,num+1+n); for(i=1;i<=k;i++) printf("%d\n",num[pos[i]]); } return 0; } *路由器连接 Hub Connection plan Description Partychen is working as system administrator and is planning to establish a new network in his company. There will be N hubs in the company, they can be connected to each other using cables.
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