#include <stdio.h>
void main( )
{
int data, i = 2;
scanf("%d", &data);
while(data > 1)
{
if(data % i == 0)
{
printf("%d ", i);
data /= i;
}
else i++;
}
}
#include <stdio.h>
int main()
{
int n, count, i;
while (scanf("%d", &n) != EOF) {
count = 0;
for (i = 2; i * i <= n; i ++) {
if(n % i == 0) {
while (n % i == 0) {
count ++;
n /= i;
}
}
}
if (n > 1) {
count ++;
}
printf("%d\n", count);
}
return 0;
}
a = p1^e1 * p2^e2 * ... * pn^en, b = p1^d1 * p2^d2 * ... * pn^dn
b / a = (p1^d1 * p2^d2 * ... * pn^dn) / (p1^e1 * p2^e2 * ... * pn^en)
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define N 1001
int prime[N], size;
/**
* 素数筛选法进行预处理
*/
void initProcess()
{
int i, j;
for (prime[0] = prime[1] = 0, i = 2; i < N; i ++) {
prime[i] = 1;
}
size = 0;
for (i = 2; i < N; i ++) {
if (prime[i]) {
size ++;
for (j = 2 * i; j < N; j += i) {
prime[j] = 0;
}
}
}
}
int main(void)
{
int i, n, a, k, num, count, base, tmp, *ansbase, *ansnum;
// 预处理
initProcess();
while (scanf("%d %d", &n, &a) != EOF) {
ansbase = (int *)calloc(size, sizeof(int));
ansnum = (int *)calloc(size, sizeof(int));
// 将a分解质因数
for (i = 2, num = 0; i < N && a != 1; i ++) {
if (prime[i] && a % i == 0) {
ansbase[num] = i;
ansnum[num] = 0;
while (a != 1 && a % i == 0) {
ansnum[num] += 1;
a = a / i;
}
num ++;
}
}
// 求最小的k
for (i = 0, k = 0x7fffffff; i < num; i ++) {
base = ansbase[i];
count = 0;
while (base <= n) {
count += n / base;
base *= ansbase[i];
}
tmp = count / ansnum[i];
if (tmp < k) k = tmp;
}
printf("%d\n", k);
}
return 0;
}
/**************************************************************
Problem: 1104
User: wangzhengyi
Language: C
Result: Accepted
Time:0 ms
Memory:916 kb
****************************************************************/
n = p1^a1 * p2^a2 * p3^a3 * ... * pn^an
(a1 + 1) * (a2 + 1) * ... *(an + 1)
(a1+1)*(a2+1)*(a3+1)*…* (ak+1)
#include <stdio.h>
#include <stdlib.h>
#define N 40000
typedef long long int lint;
int prime[N], size;
void init()
{
int i, j;
for (prime[0] = prime[1] = 0, i = 2; i < N; i ++) {
prime[i] = 1;
}
size = 0;
for (i = 2; i < N; i ++) {
if (prime[i]) {
size ++;
for (j = 2 * i; j < N; j += i)
prime[j] = 0;
}
}
}
lint numPrime(int n)
{
int i, num, *ansnum, *ansprime;
lint count;
ansnum = (int *)malloc(sizeof(int) * (size + 1));
ansprime = (int *)malloc(sizeof(int) * (size + 1));
for (i = 2, num = 0; i < N && n != 1; i ++) {
if (prime[i] && n % i == 0) {
ansprime[num] = i;
ansnum[num] = 0;
while (n != 1 && n % i == 0) {
ansnum[num] += 1;
n /= i;
}
num ++;
}
}
if (n != 1) {
ansprime[num] = n;
ansnum[num] = 1;
num ++;
}
for (i = 0, count = 1; i < num; i ++) {
count *= (ansnum[i] + 1);
}
free(ansnum);
free(ansprime);
return count;
}
int main(void)
{
int i, n, *arr;
lint count;
init();
while (scanf("%d", &n) != EOF && n != 0) {
arr = (int *)malloc(sizeof(int) * n);
for (i = 0; i < n; i ++) {
scanf("%d", arr + i);
}
for (i = 0; i < n; i ++) {
count = numPrime(arr[i]);
printf("%lld\n", count);
}
free(arr);
}
return 0;
}
/**************************************************************
Problem: 1087
User: wangzhengyi
Language: C
Result: Accepted
Time:190 ms
Memory:1068 kb
****************************************************************/
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