# Python: Compute the largest product of three integers from a given list of integers

## Python Basic - 1: Exercise-79 with Solution

Write a Python program to compute the largest product of three integers from a given list of integers.

**Sample Solution**:

**Python Code:**

```
# Define a function to find the largest product of three elements in a list
def largest_product_of_three(nums):
# Initialize the maximum value with the second element in the list
max_val = nums[1]
# Iterate through each element in the list to find the maximum product of three elements
for i in range(len(nums)):
for j in range(i+1, len(nums)):
for k in range(j+1, len(nums)):
# Update the maximum value if a larger product is found
max_val = max(nums[i] * nums[j] * nums[k], max_val)
# Return the maximum product of three elements
return max_val
# Test the function with different lists of numbers
print(largest_product_of_three([-10, -20, 20, 1]))
print(largest_product_of_three([-1, -1, 4, 2, 1]))
print(largest_product_of_three([1, 2, 3, 4, 5, 6]))
```

Sample Output:

4000 8 120

**Explanation: **

Here is a breakdown of the above Python code:

- The function "largest_product_of_three()" takes a list of numbers ('nums') as input.
- It initializes the maximum value ('max_val') with the second element in the list.
- It uses three nested loops to iterate through all possible combinations of three elements in the list.
- For each combination, it calculates the product of the three elements and updates the maximum value if a larger product is found.
- Finally, the function returns the maximum product of three elements.
- The function is tested with different lists of numbers.

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