Anagram finder, C++ (gcc)

Anagram finder

//Title of this code

#include <iostream>
#include <cctype>
#include <map>
#include <list>
#include <vector>

using namespace std;

vector<int> primes;

typedef unsigned HashType;

// Just working with non repeating letters!!!
HashType anagramHash(const string& s) {
 
    HashType num = 0;
    for (unsigned i  = 0; i < s.length(); ++i) {
        int n = static_cast<int>(tolower(s[i]) - 'a');
        num += (1 << n);
    }
    
    return num;
    
}

HashType anagramHashPrimes(const string& s) {
 
    HashType num = 1;
    for (unsigned i  = 0; i < s.length(); ++i) {
        int n = static_cast<int>(tolower(s[i]) - 'a');
        num *= primes[n];
    }
    
    return num;
    
}

void collectAnagrams(list<string>& words, map<int, list<string*>* >& anagrams) {
    
    for (auto it = words.begin(); it != words.end(); ++it) {
        int n = anagramHashPrimes(*it);
        
        if (anagrams.find(n) == anagrams.end()) {
            anagrams[n] = new list<string*>();
            anagrams[n]->push_back(&(*it));
        } else {
            anagrams[n]->push_back(&(*it));
        }  
    }
}

void printAnagrams(map<int, list<string*>* >& anagrams) {
    for (auto it = anagrams.begin(); it != anagrams.end(); ++it) {
        list<string*> *l = it->second;
        for (auto lit = l->begin(); lit != l->end(); ++lit) {
            cout << **lit << " ";   
        }
            
        cout << endl; 
    } 
}

bool isPrime(int num) {
    if (num < 2)
        return false;
    if (num == 2)
        return true;
    
    for (int i = 2; i < num; ++i)
        if (num % i == 0)
            return false;

return true;
}

void initPrimeVector(vector<int>& p, int size) {
    int i = 1;
    int num = 0;
    while (i <= size) {
        
        if (isPrime(num)) {
            p.push_back(num);
            ++i;
        }
        
        ++num;
    }
}

int main()
{
    initPrimeVector(primes, 26);
    
    list<string> words;
    words.push_back("abcZ");
    words.push_back("fgh");
    words.push_back("uki");
    words.push_back("abdz");
    words.push_back("czba");
    words.push_back("bca");
    words.push_back("gfh");

map<int, list<string*>* > anagrams;
    
    collectAnagrams(words, anagrams);
    printAnagrams(anagrams);
    
    cout << endl;
    
    // FAIL!
    cout << anagramHash("aa") << " " << anagramHash("b") << endl;

// Can owerflow!
    cout << anagramHashPrimes("zzzzzzzz") << " " << anagramHashPrimes("abbba") << endl;
    
}


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