The most STLish way I can imagine:
std::partial_sum(std::begin(v), std::end(v),
std::begin(v), std::multiplies<double>());
Example:
#include <iostream>
#include <vector>
#include <iterator>
#include <numeric>
#include <functional>
int main()
{
std::vector<double> v{ 1.0, 2.0, 3.0, 4.0 };
std::partial_sum(std::begin(v), std::end(v),
std::begin(v), std::multiplies<double>());
std::copy(std::begin(v), std::end(v),
std::ostream_iterator<double>(std::cout, " "));
}
Output:
1 2 6 24
Live demo link.