#include #include //#include #include //#include //#include //#include int primes[] = {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997}; int numPrimes = 168 ; int binarySearch (int *array, int left, int right, int value) { if (right < left) { return -1; } int mid = (left+right)/2; while (right >= left) { if (array[mid] == value) return mid; else if (array[mid] > value) right = mid-1; else left = mid+1; mid = (left+right)/2; } return -1; } int isPrime (long int n) { int isPrime = 1; if (n < 1000) { if (binarySearch(primes, 0, numPrimes-1, n) >= 0) return 1; else return 0; } long int sqrtn = (long int) sqrt(n); for (int i = 2; i <= sqrtn+1; i++) { if (n % i == 0) { isPrime = 0; break; } } return isPrime; } long int longestSequence(int a_size, long int* a) { // Return the length of the longest possible sequence of moves. long int longest = 0; for (int i = 0; i < a_size; i++) { long int n = a[i]; long int longestPerElem = n; long int s = (long int) sqrt(n); int currPrime = 2; int firstTime = 1; int primeIndex = 0; if (isPrime(n)) { longestPerElem++; longest += longestPerElem; continue; } while (n > 1) { while (n % currPrime != 0) { if (primeIndex < numPrimes-1) { primeIndex++; currPrime = primes[primeIndex]; continue; } currPrime += 2; while (!isPrime(currPrime)) currPrime += 2; } if (firstTime) { longestPerElem++; firstTime = 0; n = n/currPrime; continue; } longestPerElem += n; n = n/currPrime; } longest += longestPerElem; } return longest; } int main() { int n; scanf("%i", &n); long int *a = malloc(sizeof(long int) * n); for (int a_i = 0; a_i < n; a_i++) { scanf("%li",&a[a_i]); } long int result = longestSequence(n, a); printf("%ld\n", result); return 0; }